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

Question 187719: Find the quadratic equation with roots (4+i) and (4-i)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
or Start with the given roots.

or Get the real numbers to the left side.

or Square both sides.

or Square "i" to get -1. Square "-i" to get -1.

Since these equations are identical, this means that we can use one equation

FOIL the left side

Add 1 to both sides.

Combine like terms.

So the quadratic equation that has the roots 4+i and 4-i is
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