Solve quadratic equation x² + 6x = -18?

Solution:

Given quadratic equation x² + 6x = -18

We find solutions we have to use the quadratic formula

x = -b ± √ b² - 4ac/2a

x = -6 ± √ 6² - 4(1)(18)/2(1)

The determinant is negative, hence it will have imaginary roots

x = -6 ± √ 36 - 72/2

x = -6 ± √ -36 /2

x = -6 ± 6i /2 = -3 ± 3i

The solutions are -3 ± 3i

Therefore, the solution of the quadratic equation x² + 6x = -18 is -3 ± 3i.

Solve quadratic equation x² + 6x = -18?

Summary:

By solving the given equation x² + 6x = -18, we got solutions as -3 ± 3i.