Question

Which of the following is a solution of 4x2 = − 9x − 4?

Answer 1

4 x 2 = − 9x − 4

Multiply 4 and 2. Add 4 to both sides.
8 + 4 = -9x

Divide both sides by -9.
(8 + 4)/-9 = x

Simplify
-12/9 = x

Answer 2

get all on one side
add 9x+4 both sides
4x^2+9x+4=0
use quadratic formula
in form
ax^2+bx+c=0
x=$\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

a=4
b=9
c=4

x=$\frac{-9+/- \sqrt{9^{2}-4(4)(4)} }{2(4)}$
x=$\frac{-9+/- \sqrt{81-64} }{8}$
x=$\frac{-9+/- \sqrt{17} }{8}$
x=$\frac{-9+ \sqrt{17} }{8}$ or $\frac{-9- \sqrt{17} }{8}$

aprox
x=-1.64039 or -0.6096