Prompt: Amy and Richard each solved an equation using the quadratic formula. Amy's Equation and Method 4x² + 7x-20 = 0 Step 1: x = Step 2: x = Step 3: x = Step 4: x= Step 1: = Step 2: Step 3: x = Richard's Equation and Method x² - 6x +8=0 Step 4: x = -7± √√7²-4(1)(20) 2(4) Step 5: x= -7± √49-80 8 -7± √-31 8 -7±i√31 8 6± √(-6)² - 4(1)(8) 2(1) 6± √36-32 2 6± √4 2 6+√4 2 6+2 2 and x = and x = Step 6: x = 4 and x = 3 - i 6-√4 2 6-2i Both students made a mistake. 1. Describe the mistake each student made. Number your responses from 1 to 3. 2. Explain what each student needs to do to fix their mistake. 3. Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using a, b, and c of your equation and giving the solutions to the equation you chose.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Prompt:
Amy and Richard each solved an equation using the quadratic formula.
Amy's Equation and Method
4x² + 7x20 = 0
-7±
Step 1: x =
Step 2: x =
Step 3: x =
Step 4: x =
Step 1: x =
Step 2: x =
Step 3: x =
Richard's Equation and Method
x² - 6x + 8 = 0
Step 4: x =
Step 5: x =
-7± √49-80
8
-7± √-31
8
-7± √31
8
/724(1)(20)
2(4)
6 ± √(-6)² - 4(1)(8)
2(1)
6√36-32
2
6± √4
2
6+√4
2
6+2
2
Both students made a mistake.
and x =
and x =
Step 6: x4 and x = 3 - i
6-√4
2
62i
2
1. Describe the mistake each student made.
Number your responses from 1 to 3.
2. Explain what each student needs to do to fix their mistake.
3. Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using a, b, and c of your equation and giving the solutions to the equation you chose.
Transcribed Image Text:Prompt: Amy and Richard each solved an equation using the quadratic formula. Amy's Equation and Method 4x² + 7x20 = 0 -7± Step 1: x = Step 2: x = Step 3: x = Step 4: x = Step 1: x = Step 2: x = Step 3: x = Richard's Equation and Method x² - 6x + 8 = 0 Step 4: x = Step 5: x = -7± √49-80 8 -7± √-31 8 -7± √31 8 /724(1)(20) 2(4) 6 ± √(-6)² - 4(1)(8) 2(1) 6√36-32 2 6± √4 2 6+√4 2 6+2 2 Both students made a mistake. and x = and x = Step 6: x4 and x = 3 - i 6-√4 2 62i 2 1. Describe the mistake each student made. Number your responses from 1 to 3. 2. Explain what each student needs to do to fix their mistake. 3. Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using a, b, and c of your equation and giving the solutions to the equation you chose.
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