Question

Solve 5x2 = -30x - 65.

A) x= -3 (plus/minus) 2i
B) x= -3 (plus/minus) 4i
C) x= -6 (plus/minus) 2i
D) x= -6 (plus/minus) 4i

Answer 1

\(\large\color{blue}{5x^2 = -30x - 65 }\)
\(\large\color{blue}{5x^2 +30x =- 65 }\)
\(\large\color{blue}{5(x^2 +6x )=- 65 }\)
\(\large\color{blue}{5(x^2 +6x +9-9)=- 65 }\)
\(\large\color{blue}{5(x^2 +6x +9)-45=- 65 }\)
\(\large\color{blue}{5(x^2 +6x +9)=- 20 }\)
\(\large\color{blue}{(x^2 +6x +9)=- 4 }\)

Answer 2

tell me if you need help from here?
\(\large\color{blue}{x^2 +6x +9 }\) is a perfect square trinomial.