Question

Please help !!!!! If (x−3)^2=5, what values of x make the quadratic equation true?

Answer 1

x = 3 ±√5

Explanation:

We can take the square root of both sides of the equation:

(x -3)^2 = 5 . . . . . . . . given

x -3 = ±√5 . . . . . . . . square root

x = 3 ±√5 . . . . . . . . add 3

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Additional comment

It is a good idea to remember this process. It is the final step in solving a quadratic by "completing the square."