SOLUTION: For what four values of x is the equation (x^2-10x+12)^2=144 true?

Algebra ->  Equations -> SOLUTION: For what four values of x is the equation (x^2-10x+12)^2=144 true?      Log On


   



Question 1095190: For what four values of x is the equation (x^2-10x+12)^2=144 true?
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your first step is to take square roots from both sides.

In this way you will get two (TWO) quadratic equations: one with the right side 12, and another with the right side -12.

Solve first equation and find two its roots.

Then solve the second quadratic equation and find its roots.

Your final step us to take THE UNION of these 2 + 2 = 4 roots.

It will be your final answer.