SOLUTION: Find a quadratic equation with roots (4+i) and (4-i).

Question 176376: Find a quadratic equation with roots (4+i) and (4-i).
Found 2 solutions by Mathtut, EMStelley:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!

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Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
If a is a root of a quadratic equation, that means that (x-a) is a factor of the equation. Thus, (4+i) being a root means that (x-(4+i)) is a factor. Similarly, that means that (x-(4-i)) is a factor. Thus, the equation is

So, we need to multiply out the right hand side in order to determine the equation.

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