How do you solve x^2 + 2x + 10 = 0 using the quadratic formula?

1 Answer
Apr 30, 2018

-1 +- 3i

Explanation:

Our equation is x^2 +2x +10 = 0 a = 1, b = 2, c = 10.

Now, using the quadratic formula (-b +- sqrt(b^2 - 4ac))/(2a) , we just plug in our values:

(-2 +- sqrt(2^2 -(4 * 1 * 10)))/(2 * 1)

Now simplify.

(-2 +- sqrt(4 - 40))/(2)

(-2 +- sqrt(-36))/2

(-2 +- 6i)/2

-1 +- 3i