Question 8566
Hmmm... Let's start by completing the square.

{{{4x^2 - 4x = -15}}} Complete the square by adding 1 to both sides.

{{{4x^2 - 4x + 1 = -15 + 1}}} Factor the left side.

{{{(2x - 1)^2 = -14}}} To solve this, take the square root of both sides then add 1 to both sides..

{{{2x = 1+-sqrt(-14)}}} Divide both sides by 2.

{{{x = 1/2+-sqrt(-14)/2}}}


{{{x = 1/2+-sqrt(7/2)i}}}