-36x^2+144x-96=0

Question

I don't know how to solve for x. please help

Answer 1

First of all, let's divide through by -12 to clear the greatest common factor in the coefficients:

3x² - 12x + 8 = 0

Since the polynomial doesn't factor, use the quadratic formula:

x = (12 ± √((-12)² - 4*3*8)) / (2*3) = (12 ± √48) / 6 = (12 ± 4√3) / 6 = 2 ± (2/3)√3