Graphical Solution of Equations Using GDC - Step-by-Step Guide

undefined
LO: To use the GDC to solve equations,
including those which may be
unfamiliar.
15 December 2024
Graphical solution of equations
Graphical Solution of Equations
 
We can use the GDC to solve equations graphically
 
To solve equations graphically follow these steps:
 
Step 1:
 
Turn on the GDC and select the Graph option
from the menu.
 
Step 2:
 
Type in the left hand side of the equation on Y1.
 
Step 3:
 
Type in the right hand side of the equation on Y2.
 
Step 4:
 
Draw the graph on the screen
 
Step 5:
 
Find the 
x
-value of any intersection of the two
graphs.
 
 
 
 
Step 1:
 
Turn on the GDC and select the
Graph option from the menu.
 
Step 2:
 
Type in the left hand side of
the equation on Y1.
 
2
x
 – 8
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
 – 8
 
Step 3:
 
Type in the right hand side of
the equation on Y2.
 
x
 – 1
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
 – 8
Step 3:
Type in the right hand side of
the equation on Y2.
x
 – 1
 
Step 4:
 
Draw the graph on the screen
 
Draw
 
F6
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
 – 8
Step 3:
Type in the right hand side of
the equation on Y2.
x
 – 1
Step 4:
Draw the graph on the screen
Draw
 
Step 5:
 
Find the 
x
-value of any intersection
of the two graphs.
F6
 
G-Solv
 
F5
 
INTSECT
 
F5
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
 – 8
Step 3:
Type in the right hand side of
the equation on Y2.
x
 – 1
Step 4:
Draw the graph on the screen
Draw
Step 5:
Find the 
x
-value of any intersection
of the two graphs.
F6
G-Solv
F5
INTSECT
F5
 
x
 = 7
 
Solution:
Graphical Solution of Equations
 
 
 
 
Step 1:
 
Turn on the GDC and select the
Graph option from the menu.
 
Step 2:
 
Type in the left hand side of
the equation on Y1.
 
2
x
3
 – 4
x
2
 – 
x
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
 
Step 3:
 
Type in the right hand side of
the equation on Y2.
 
x
2 
+ 
x
 – 2
Graphical Solution of Equations
2
x
3
 – 4
x
2
 – 
x
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
Step 3:
Type in the right hand side of
the equation on Y2.
 
Step 4:
 
Draw the graph on the screen
 
Draw
 
F6
Graphical Solution of Equations
x
2 
+ 
x
 – 2
2
x
3
 – 4
x
2
 – 
x
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
Step 3:
Type in the right hand side of
the equation on Y2.
Step 4:
Draw the graph on the screen
Draw
 
Step 5:
 
Find the 
x
-value of any intersection
of the two graphs.
F6
 
G-Solv
 
F5
 
INTSECT
 
F5
Graphical Solution of Equations
x
2 
+ 
x
 – 2
2
x
3
 – 4
x
2
 – 
x
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
Step 3:
Type in the right hand side of
the equation on Y2.
Step 4:
Draw the graph on the screen
Draw
Step 5:
Find the 
x
-value of any intersection
of the two graphs.
F6
G-Solv
F5
INTSECT
F5
 
x
 
≈
 -0.732
 
Solution:
Graphical Solution of Equations
x
2 
+ 
x
 – 2
2
x
3
 – 4
x
2
 – 
x
 
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
Step 3:
Type in the right hand side of
the equation on Y2.
Step 4:
Draw the graph on the screen
Draw
Step 5:
Find the 
x
-value of any intersection
of the two graphs.
F6
G-Solv
F5
INTSECT
F5
Graphical Solution of Equations
x
2 
+ 
x
 – 2
2
x
3
 – 4
x
2
 – 
x
x
 
≈
 -0.732
Solution:
 
x
 = 0.5
 
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
Step 3:
Type in the right hand side of
the equation on Y2.
Step 4:
Draw the graph on the screen
Draw
Step 5:
Find the 
x
-value of any intersection
of the two graphs.
F6
G-Solv
F5
INTSECT
F5
Graphical Solution of Equations
x
2 
+ 
x
 – 2
2
x
3
 – 4
x
2
 – 
x
x
 
≈
 -0.732
Solution:
x
 = 0.5
 
x
 
≈
 2.732
 
 
 
 
Step 1:
 
Turn on the GDC and select the
Graph option from the menu.
 
Step 2:
 
Type in the left hand side of
the equation on Y1.
 
2
x
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
 
Step 3:
 
Type in the right hand side of
the equation on Y2.
 
5 – 
x
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
Step 3:
Type in the right hand side of
the equation on Y2.
5 – 
x
 
Step 4:
 
Draw the graph on the screen
 
Draw
 
F6
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
Step 3:
Type in the right hand side of
the equation on Y2.
5 – 
x
Step 4:
Draw the graph on the screen
Draw
 
Step 5:
 
Find the 
x
-value of any intersection
of the two graphs.
F6
 
G-Solv
 
F5
 
INTSECT
 
F5
Graphical Solution of Equations
 
 
 
Step 1:
Turn on the GDC and select the
Graph option from the menu.
Step 2:
Type in the left hand side of
the equation on Y1.
2
x
Step 3:
Type in the right hand side of
the equation on Y2.
5 – 
x
Step 4:
Draw the graph on the screen
Draw
Step 5:
Find the 
x
-value of any intersection
of the two graphs.
F6
G-Solv
F5
INTSECT
F5
 
x
 
≈
 1.72
 
Solution:
Graphical Solution of Equations
Thank you for using resources from
https://www.mathssupport.org
If you have a special request, drop us an email
info@mathssupport.org
 
 
For more resources visit our website
 
 

								

								
								

										

												
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Learn how to solve equations graphically using a Graphic Display Calculator (GDC) with step-by-step instructions. Turn on the GDC, input the equation on Y1 and Y2, draw the graphs, and find the intersection point to determine the x-value. An example equation, 2x + 8 = x + 1, is solved using this method. Visual aids and detailed guidance provided. Enhance your equation-solving skills graphically using technology.


								
    
																		
  •   Graphical Solution
    • 
																	
  •    Equations
    • 
																	
  •    GDC
    • 
																	
  •    Step-by-Step Guide
    • 
																	
  •    Mathematics
    • 
																

								

								

									

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  1. 15 December 2024 Graphical solution of equations LO: To use the GDC to solve equations,  including those which may be  unfamiliar. www.mathssupport.org
    2. 
            
            
            
  2. Graphical Solution of Equations We can use the GDC to solve equations graphically To solve equations graphically follow these steps: Step 1:Turn on the GDC and select the Graph option  from the menu. Step 2:Type in the left hand side of the equation on Y1. Step 3:Type in the right hand side of the equation on Y2. Step 4:Draw the graph on the screen Step 5:Find the x-value of any intersection of the two  graphs. www.mathssupport.org www.mathssupport.org
    3. 
            
            
            
  3. Graphical Solution of Equations 2x    8 = x    1  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x    8 Solve Example 1 www.mathssupport.org
    4. 
            
            
            
  4. Graphical Solution of Equations 2x    8 = x    1  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x    8 Step 3:Type in the right hand side of  the equation on Y2. x    1 Solve Example 1 www.mathssupport.org
    5. 
            
            
            
  5. Graphical Solution of Equations 2x    8 = x    1  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x    8 Step 3:Type in the right hand side of  the equation on Y2. x    1 Step 4:Draw the graph on the screen Draw F6 Solve Example 1 www.mathssupport.org
    6. 
            
            
            
  6. Graphical Solution of Equations 2x    8 = x    1  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x    8 Step 3:Type in the right hand side of  the equation on Y2. x    1 Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 Solve Example 1 F6 F5 INTSECT www.mathssupport.org
    7. 
            
            
            
  7. Graphical Solution of Equations 2x    8 = x    1  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x    8 Step 3:Type in the right hand side of  the equation on Y2. x    1 Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 x = 7 Solution: Solve Example 1 F6 F5 INTSECT www.mathssupport.org
    8. 
            
            
            
  8. Graphical Solution of Equations 2x3    4x2   x = x2 + x    2  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x3    4x2   x Solve Example 2 www.mathssupport.org
    9. 
            
            
            
  9. Graphical Solution of Equations Solve Example 2 2x3    4x2   x = x2 + x    2  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. Step 3:Type in the right hand side of  the equation on Y2. x2 + x    2 2x3    4x2   x www.mathssupport.org
    10. 
            
            
            
  10. Graphical Solution of Equations Solve Example 2 2x3    4x2   x = x2 + x    2  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. Step 3:Type in the right hand side of  the equation on Y2. Step 4:Draw the graph on the screen Draw F6 2x3    4x2   x x2 + x    2 www.mathssupport.org
    11. 
            
            
            
  11. Graphical Solution of Equations Solve Example 2 2x3    4x2   x = x2 + x    2  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. Step 3:Type in the right hand side of  the equation on Y2. Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 2x3    4x2   x x2 + x    2 F6 F5 INTSECT www.mathssupport.org
    12. 
            
            
            
  12. Graphical Solution of Equations Solve Example 2 2x3    4x2   x = x2 + x    2  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. Step 3:Type in the right hand side of  the equation on Y2. Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 x    -0.732 Solution: 2x3    4x2   x x2 + x    2 F6 F5 INTSECT     www.mathssupport.org
    13. 
            
            
            
  13. Graphical Solution of Equations Solve Example 2 2x3    4x2   x = x2 + x    2  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. Step 3:Type in the right hand side of  the equation on Y2. Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 x    -0.732 Solution: 2x3    4x2   x x2 + x    2 F6 F5 INTSECT    x = 0.5    www.mathssupport.org
    14. 
            
            
            
  14. Graphical Solution of Equations Solve Example 2 2x3    4x2   x = x2 + x    2  Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. Step 3:Type in the right hand side of  the equation on Y2. Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 x    -0.732 Solution: x    2.732 2x3    4x2   x x2 + x    2 F6 F5 INTSECT        x = 0.5 www.mathssupport.org
    15. 
            
            
            
  15. Graphical Solution of Equations 2x = 5    x Solve Example 3 Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x www.mathssupport.org
    16. 
            
            
            
  16. Graphical Solution of Equations Solve Example 3 2x = 5    x Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x Step 3:Type in the right hand side of  the equation on Y2. 5    x www.mathssupport.org
    17. 
            
            
            
  17. Graphical Solution of Equations Solve Example 3 2x = 5    x Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x Step 3:Type in the right hand side of  the equation on Y2. 5    x Step 4:Draw the graph on the screen Draw F6 www.mathssupport.org
    18. 
            
            
            
  18. Graphical Solution of Equations Solve Example 3 2x = 5    x Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x Step 3:Type in the right hand side of  the equation on Y2. 5    x Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 F6 F5 INTSECT www.mathssupport.org
    19. 
            
            
            
  19. Graphical Solution of Equations Solve Example 3 2x = 5    x Step 1:Turn on the GDC and select the  Graph option from the menu. Step 2:Type in the left hand side of  the equation on Y1. 2x Step 3:Type in the right hand side of  the equation on Y2. 5    x Step 4:Draw the graph on the screen Draw Step 5:Find the x-value of any intersection  of the two graphs. G-Solv F5 x    1.72 Solution: F6 F5 INTSECT www.mathssupport.org
    20. 
            
            
            
  20. Thank you for using resources from A close up of a cage Description automatically generated For more resources visit our website https://www.mathssupport.org  If you have a special request, drop us an email info@mathssupport.org  www.mathssupport.org
    21. 
            
            
            
							

							

					

					
					
					

						
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