Question 311722: Can anyone solve and explain this?
Write a quadratic equation having the given numbers as solutions:
4i, -4i
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write a quadratic equation having the given numbers as solutions:
4i, -4i
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Factor Theorem: If "a" is a root of an equation, x-a is a factor.
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You are given two roots:
The corresponding factors are (x-4i) and (x-(-4i)) or (x+4i)
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Equation:
f(x) = (x+4i)(x-4i)
f(x) = x^2 +4ix - 4ix - (4i)^2
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f(x) = x^2 - 16i^2
f(x) = x^2 - 16*(-1)
f(x) = x^2 + 16
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Cheers,
Stan H.
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