Question

What are the solutions of 2x2 + 8x = -26?

Answer 1

-2 ± 3i

-2 ± i

2 ± 6i

-3 ± 2i

Answer 2

POP, POP!

Answer 3

2(x^2 + 4x) = -26
x^2 + 4x = -13

Answer 4

Now we use (b/2)^2 which is 4 and add that to both sides:
x^2 + 4x + 4 = -9

This is (x+2)^2 = -9

rad both sides

x+2 = rad(-9)

x + 2 = i * rad(9)
x + 2 = +-3i
x = -2 +- 3i