Question

Solve 5x2 = -30x - 65.
x = -3 ± 2i
x = -3 ± 4i
x = -6 ± 2i
x = -6 ± 4i
help please

Answer 1

rewrite the equation as

\[ 5x^2+30x + 65 = 0\]

divide every term by 5

\[x^2 + 6x + 13 = 0\]

then use the general quadratic formula

\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

from your equation you need to use

a 1, b = 6 and c = 13

substitute and then simplify to find the answers