SOLUTION: Find a quadratic equation with roots -1+4i and -1-4i

SOLUTION: Find a quadratic equation with roots -1+4i and -1-4i

Algebra.Com

Question 584217: Find a quadratic equation with roots -1+4i and -1-4i
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find a quadratic equation with roots -1+4i and -1-4i
:
x = -1 +/- 4i
x + 1 = +/- 4i
Square both sides
(x+1)^2 = 16(i^2)
FOIL
x^2 + 2x + 1 = -16
x^2 + 2x + 1 + 16 = 0
y = x^2 + 2x + 17 is the equation
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