Question

What are the roots of the quadratic equation x2+2x=-5

Answer 1

x = -1 +/-2i

Explanation:

Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.

x² + 2x + 5 = 0

Use the quadratic formula by substituting a= 1, b = 2 and c = 5.

`x = (-2 +/- √((-2)^2 - 4(1)(5)) )/(2(1)) = (-2 +/-√(4 -20 ) )/(2) = (-2 +/-√(-16 ) )/(2) = (-2 +/-4i )/(2) = -1 +/-2i`