Complete the square please include the steps 4x^2+8x+36=0

Question

asked Dec 11, 2023 195k views

1 Answer

EiTan LaVi · Answer 1 · 2023-12-17T04:10:22+0000

Answer:

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

$x = ( -b \pm √(b^2 - 4ac))/(2a)$

$x = ( -2 \pm √(2^2 - 4(1)(9)))/(2(1))$

$x = ( -2 \pm √(4 - 36))/(2)$

$x = ( -2 \pm √(-32))/(2)$

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

$x = ( -2 \pm 4√(2)i)/(2)$

$x = -1+2√(2)i\\ x= -1-2√(2) i$