SOLUTION: -sqrt(7), 7sqrt(7)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: -sqrt(7), 7sqrt(7)      Log On


   



Question 212914: -sqrt(7), 7sqrt(7)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
If you are asking for a quadratic equation with the solution of:
-sqrt%287%29, 7sqrt%287%29
.
This would mean we have this:
%28x+%2B+sqrt%287%29%29%28x+-+7sqrt%287%29%29+=+0
.
Now, we FOIL the left side:
x%5E2+-+7sqrt%287%29x+%2B+sqrt%287%29x++-+7sqrt%287%29sqrt%287%29+=+0
.
x%5E2+-+7sqrt%287%29x+%2B+sqrt%287%29x++-+7sqrt%2849%29+=+0
.
Grouping 'x' terms:
x%5E2+-+%287sqrt%287%29x+-+sqrt%287%29x%29++-+7%287%29+=+0
.
Factoring 'x' terms:
x%5E2+-+%287+-+1%29sqrt%287%29x++-+49+=+0
.
x%5E2+-+6sqrt%287%29x++-+49+=+0