Amy and Richard each solved an equation using the quadratic formula. Amy's Equation and Method 4x2 + 7x – 20 = 0 %3D -7+ 72 – 4(1)(20) 2(4) Step 1: r = -7+ V49 – 80 Step 2: r = 8 -7+ V-31 Step 3: r = 8 -7+iv31 Step 4: r = 8 Richard's Equation and Method 22 – 6x + 8 = 0 6+ V(-6)2 – 4(1)(8) 2(1) Step 1: a = 6+ V36 – 32 Step 2: r = 2 6+ V4 Step 3: r = 2 6+ V4 and a 6 - VĀ Step 4: r = 2 6+2 Step 5: a = and r = 6 – 2i 2 Step 6: x = 4 and x = 3 – i Both students made a mistake. 1. Describe the mistake each student made. 2.

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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Amy and Richard each solved an equation using the quadratic formula.
Amy's Equation and Method
4x2 + 7x – 20 = 0
%3D
-7+ y72 – 4(1)(20)
2(4)
Step 1: a =
-7+ V49 – 80
Step 2: r =
8
-7+ V-31
Step 3: r =
8
-7+iv31
Step 4: r =
8
Richard's Equation and Method
22 – 6x + 8 = 0
6+ V(-6)2 – 4(1)(8)
2(1)
Step 1: r =
6+ V36 – 32
Step 2: r =
2
6+ VA
Step 3: r =
2
6+ V4 and
6 - VĀ
Step 4: r =
2
2
6+2
Step 5: a = and r =
6 – 2i
2
Step 6: x = 4 and x = 3 – i
Both students made a mistake.
1. Describe the mistake each student made.
2.
Transcribed Image Text:Amy and Richard each solved an equation using the quadratic formula. Amy's Equation and Method 4x2 + 7x – 20 = 0 %3D -7+ y72 – 4(1)(20) 2(4) Step 1: a = -7+ V49 – 80 Step 2: r = 8 -7+ V-31 Step 3: r = 8 -7+iv31 Step 4: r = 8 Richard's Equation and Method 22 – 6x + 8 = 0 6+ V(-6)2 – 4(1)(8) 2(1) Step 1: r = 6+ V36 – 32 Step 2: r = 2 6+ VA Step 3: r = 2 6+ V4 and 6 - VĀ Step 4: r = 2 2 6+2 Step 5: a = and r = 6 – 2i 2 Step 6: x = 4 and x = 3 – i Both students made a mistake. 1. Describe the mistake each student made. 2.
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