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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 47PFA
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Transcribed Image Text: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
When Kira set the equation equal to zero, she should have gotten x2
- 1 x+ 24 leading to a solution of x = 12 and x = -2.
B.
When Kira squared both sides to eliminate the radical, she should
have only squared the side with the radical and not both sides.
C.
When Kira finished solving the radical equation, she forgot to check
for extraneous solutions which would leave x = 4 as the only solution.
D.
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