Solve the quadratic equation by taking square roots. allow for imaginary solutions. enter your answer in simplest form. equation: 5x (squared) - 5 = -17

5x^2 - 5 = -17

First add 5 to both sides:

5x^2 = -12

Now, divide by 5

x^2 = -12/5

Take the square root of both sides

x = sqrt -12/5

Because there can't be a square root of a negative number, your answer is:

x = sqrt -12/5 * i

Hope this helps!