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

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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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

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