Question

Which of the following is a solution of x2 + 2x = −2? (1 point)

x = 4 − 3i

x = −4 + 3i

x = −1 + i

x = 1 − i

Answer 1

-1 + i or -1 -i

Explanation:

Answer 2

x^2 + 2x = -2
x^2 + 2x + 2 = 0


`x= (-b\pm √(b^2-4ac) )/(2a) \\x=(-2\pm √(2^2-(4*1*2)) )/(2*1)\\x=(-2\pm √(4-8) )/(2)\\x=(-2\pm √(-4) )/(2)\\x=(-2\pm2i )/(2)\\x=-1\pm i`

Therefore, x = -1 + i or x = -1 - i

Therefore, the correct answer is the third option.