SOLUTION: What's the quadratic equation if X=7i and X=-7i

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Question 362310: What's the quadratic equation if X=7i and X=-7i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If 7i and -7i are roots, then %28x-7i%29 and %28x%2B7i%29 are factors.
f%28x%29=%28x-7i%29%28x%2B7i%29
f%28x%29=x%5E2-7ix%2B7ix-49i%5E2
highlight%28f%28x%29=x%5E2%2B49%29
Any non-zero constant multiplying f(x) is also another quadratic equation that is a solution.