Question

(x-3)^2=25
x=?
(I tried 8)

Answer 1

`\text{Solve for x:}\\\\(x-3)^2=25\\\\\text{use FOIL:}\\\\x^2-6x+9=25\\\\\text{Subtract 25 from both sides}\\\\x^2-6x-16=0\\\\\text{Factor:}\\\\(x+2)(x-8)\\\\\text{Solve for the two x's:}\\\\x+2=0\\\\\text{Subtract 2 from both sides}\\\\\boxed{x=-2}\\\\x-8=0\\\\\text{Add 8 to both sides}\\\\}\boxed{x=8}`

Answer 2

8

Explanation:

Indeed, you are correct. 8-3=5 and 5^2=25. If your answer was incorrect, I suggest you read the problem again.