SOLUTION: The given equation involves a power of the variable. Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO

Algebra ->  Equations -> SOLUTION: The given equation involves a power of the variable. Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO       Log On


   

Question 1182355: The given equation involves a power of the variable. Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
(x − 1)2 = 6
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%28x+-1%29%5E2+=+6...take square root of both sides
sqrt%28x+-1%29%5E2%29=sqrt%28+6%29
x+-1=sqrt%28+6%29
x+=1%2Bsqrt%28+6%29
solutions:
x+=1%2Bsqrt%28+6%29
or
x+=1-sqrt%28+6%29

=> real solutions are: exactly 1%2Bsqrt%28+6%29, 1-sqrt%28+6%29
approximately: 3.5, -1.5