Question 205026
Which equation, in axsquared + bx + c form, has the roots 5 - 2i and 5 + 2i.
:
x = 5 +/- 2i
Subtract 5 from both sides:
x - 5 = +/- (2i)
Square both sides
(x - 5)^2 = 4(i^2)
FOIL the left, i^2 = -1
x^2 - 10x + 25 = 4(-1)
:
x^2 - 10x + 25 = -4
:
x^2 - 10x + 25 + 4 = 0
:
x^2 - 10x + 29 = 0