SOLUTION: Write a quadratic equation which has solutions of +- 7i

Question 678441: Write a quadratic equation which has solutions of +- 7i
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If 7i and -7i are solutions then (x-7i) and (x-(-7i)) are factors. So we can start our equation with:
k(x-7i)(x-(-7i)) = 0
where "k" is any non-zero number. The last factor simplifies:
k(x-7i)(x+7i) = 0
Now we multiply the last two factors. We can use FOIL or the pattern. (I prefer using the pattern.)

Simplifying...

Since :

Last of all, pick a value for k. It can be any non-zero number. (This is why the problem says "Write a equation..." instead of "Write the equation ...".) Picking a 1 for k makes things simple. Once you have your number for "k" just multiply out the left side using the Distributive Property.
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