find a quadratic equation with roots -1+4i, -1-4i
a quadratic equation with roots -1+4i, -1-4i is x^2 + 2x + 17 = 0 sum of the roots = (-1+4i) + (-1-4i) = -2 product of the roots = (-1+4i)(-1-4i) = (-1)^2-(4i)^2 = 1-16i^2 = 1-16(-1) = 17 The equation is x^2 + 2x + 17 = 0
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Updated 11/20/2014 1:57:15 AM
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a quadratic equation with roots -1+4i, -1-4i is x^2 + 2x + 17 = 0
sum of the roots = (-1+4i) + (-1-4i) = -2
product of the roots = (-1+4i)(-1-4i) = (-1)^2-(4i)^2 = 1-16i^2 = 1-16(-1) = 17
The equation is x^2 + 2x + 17 = 0
Confirmed by jeifunk [11/20/2014 2:00:08 AM]

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