SOLUTION: Which of the following are solutions to the equation below? Check all that apply. x2 - 6x + 9 = 11 A. x = -sqrt 11 + 3 B. x = 2 + sqrt 6 C. x = sqrt 2 + 6 D

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Which of the following are solutions to the equation below? Check all that apply. x2 - 6x + 9 = 11 A. x = -sqrt 11 + 3 B. x = 2 + sqrt 6 C. x = sqrt 2 + 6 D      Log On


   

Question 949222: Which of the following are solutions to the equation below? Check all that apply.
x2 - 6x + 9 = 11

A. x = -sqrt 11 + 3
B. x = 2 + sqrt 6
C. x = sqrt 2 + 6
D. x = sqrt 11 + 3
E. x = -sqrt 2 - 6
F. x = 2 - sqrt 6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-6x+%2B+9+=+11
x%5E2-6x+%2B+3%5E2+=+11
%28x-3%29%5E2+=+11
sqrt%28%28x-3%29%5E2%29+=+sqrt%2811%29
solutions:
%28x-3%29+=+sqrt%2811%29 or -%28x-3%29+=+sqrt%2811%29
if x-3+=+sqrt%2811%29=>x+=+sqrt%2811%29%2B3
if -%28x-3%29+=+sqrt%2811%29=> -x%2B3+=+sqrt%2811%29=> 3-+sqrt%2811%29=x or x=3-+sqrt%2811%29
so, your answer are options:
A. x+=+-sqrt+%2811%29+%2B+3
D. x+=+sqrt+%2811%29+%2B++3