Question

Complete the square
*please include the steps*

4x^2+8x+36=0

Answer 1

Answer:

Step-by-step explanation:

4x^2+8x+36=0

Factor out the GCF: 4

1/4(4x^2+8x+36=0)

x^2+2x+9=0

Solve using the Quadratic formula.

a= 1

b= 2

c= 9

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

$x = \frac{ -2 \pm \sqrt{2^2 - 4(1)(9)}}{2(1)}$

$x = \frac{ -2 \pm \sqrt{4 - 36}}{2}$

$x = \frac{ -2 \pm \sqrt{-32}}{2}$

There are no real solutions because you cannot square root a negative number.

$x = \frac{ -2 \pm 4\sqrt{2}i}{2}$

$x = -1+2\sqrt{2}i\\ x= -1-2\sqrt{2} i$