For some reason my mind has drawn a blank on these kind of problems today.
solve for x over the complex numbers.
x^2+4x+13=0
x=__________ or x=______________
Thanks!
Solve for x:
x^2 + 4 x + 13 = 0
Subtract 13 from both sides:
x^2 + 4 x = -13
Add 4 to both sides:
x^2 + 4 x + 4 = -9
Write the left hand side as a square:
(x + 2)^2 = -9
Take the square root of both sides:
x + 2 = 3 i or x + 2 = -3 i
Subtract 2 from both sides:
x = -2 + 3 i or x + 2 = -3 i
Subtract 2 from both sides:
x = -2 + 3i or x = -2 - 3i