SOLUTION: find a quadratic equation with roots -1+4i and -1-4i

Question 490686: find a quadratic equation with roots -1+4i and -1-4i
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

if you have the roots and you can recover the quadratic equation by forming

.......your answer
check it:

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=2, and c=17

Square 2 to get 4

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 1 to get 2

After simplifying, the quadratic has roots of

or

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