8. Kira solved the following radical equation using the steps shown. V8-2x = x-4 (V8-2x)2 = (x-4)2 8-2x = x2-8X+16 O = x2-6X+8 O = (x-4)(x-2) X=4 and x=2 %3D What mistake was made in Kira's work? When Kira simplified (x - 4)², she should have simplified to get x2 - 16 instead of x2 - 8x + 16. A. B. When Kira set the equation equal to zero, she should have gotten x - 1 x + 24 leading to a solution of x = 12 and x = -2. When Kira squared both sides to eliminate the radical, she should have only squared the side with the radical and not both sides. D. When Kira finished solving the radical equation, she forgot to check for extraneous solutions which would leave x = 4 as the only solution. C.
8. Kira solved the following radical equation using the steps shown. V8-2x = x-4 (V8-2x)2 = (x-4)2 8-2x = x2-8X+16 O = x2-6X+8 O = (x-4)(x-2) X=4 and x=2 %3D What mistake was made in Kira's work? When Kira simplified (x - 4)², she should have simplified to get x2 - 16 instead of x2 - 8x + 16. A. B. When Kira set the equation equal to zero, she should have gotten x - 1 x + 24 leading to a solution of x = 12 and x = -2. When Kira squared both sides to eliminate the radical, she should have only squared the side with the radical and not both sides. D. When Kira finished solving the radical equation, she forgot to check for extraneous solutions which would leave x = 4 as the only solution. C.
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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