Question

Which of the following is a solution of x2 + 4x = −8?

x = −2 − 2i
x = 2 + 2i
x = −4 + 4i
x = 4 − 4i

Answer 1

helppp plzzz

Answer 2

solving a quadratic equation is easy , you can do it by either splitting the middle term (in this case its not possible since the roots/ solution is not real) so you have to solve it by finding he discriminant

write the equation in the form of \[ax ^{2}+bx+c=0\]

where a is the coefficient of x^2, b is the coefficient of x and c is the constant term

discriminant is given by :

\[D=b ^{2}-4ac\]

now to find the value of x

we use the equation:
\[x=(-b \pm \sqrt{D})/2a\]

Answer 3

so its C

Answer 4

no it would be A

Answer 5

see
D=(4)^2-4(1)(8)
=16-32
=-16

so x=(-4-sqrt(D))/2(1) and (-4+sqrt(D))/2(1)

=(-4-sqrt(-16))/2 and (-4+sqrt(-16))/2

=(-4-4i)/2 and (-4+4i)/2

so the two solutions are:
-2-2i and -2+2i