Verica didn't solve this radical equation correctly. Here is their work: U2x-2 = x- I %3D © (V2x-2)"= (x-1)~ 2x-2= x²+ | O = x²-2x-3 0= (x -3)(x+1) X= 3 or X=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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9:32
( Classroom
Verica didn't solve this radical equation correctly.
Here is their work:
U2x-2 = x- 1
2x-2= x²+ !
O = x2-2x-3
O= (x -3)(x+!)
X= 3 or X=1
Why does Verica (correctly) square both sides of the
equation in Step 2?
What mistake does Verica make between Step 2 and
Step 3? Fix Verica's work below.
Transcribed Image Text:9:32 ( Classroom Verica didn't solve this radical equation correctly. Here is their work: U2x-2 = x- 1 2x-2= x²+ ! O = x2-2x-3 O= (x -3)(x+!) X= 3 or X=1 Why does Verica (correctly) square both sides of the equation in Step 2? What mistake does Verica make between Step 2 and Step 3? Fix Verica's work below.
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