Question

Which of the following is a solution of x2 + 2x = −2?
x = 4 − 3i
x = −4 + 3i
x = −1 + i
x = 1 − i

Answer 1

x^2+2x+2=0
from the formula roots of the second order equations are (-b+- root(delta))/2a
where b=2 and a=1 in this equation
for delta the formula is b^2-4ac where c=2 so delta= 4-4*1*2=-4
for roots now (-2+- root(-4))/2
=(-2+-2i)/2
=-1+-i
We have -1+i in options so thats the answer

Answer 2

thank you!

Answer 3

You're welcome!