Question

Solve −2x2 − 16x − 44 = 0.

Answer 1

x=-3

Explanation:

-2x2=-4

-4-16x-44=0

combine like terms (-4,-16)

-48-16x=0

move the 16x to the other side of the equal sign (add 16 since its -)

-48=16x

you need x alone so you need to divide by 16

-3=x

Answer 2

The solution to the quadratic equation -2x² - 16x - 44 = 0 are
`x = -4 -4√(6)i \ and \ x = -4 +4√(6)i`

Given the quadratic equation in the question:

-2x² - 16x - 44 = 0

To solve the quadratic equation -2x² - 16x - 44 = 0, we use the quadratic formula:

`x = (-b\±√(b^2 - 4ac) )/(2a)`

From the equation:

a = -2, b = 16, c = -44

Plug these values into the above:

`x = (-b\±√(b^2 - 4ac) )/(2a) \\\\x = (-(-16)\±√((-16)^2 - 4(-2)(-44)) )/(2(-2)) \\\\x = (16\±√(256 - 352) )/(-4) \\\\x = (16\±√(-96) )/(-4) \\\\x = (16\±4√(6)i )/(-4) \\\\x = -4 \±4√(6)i\\\\x = -4 -4√(6)i \ or \ x = -4 +4√(6)i`

Therefore, the values of x are
`x = -4 -4√(6)i \ and \ x = -4 +4√(6)i`