Question 180877: How do you find a quadratic equation if you are only given the solution
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! How do you find a quadratic equation if you are only given the solution
.
Let's say, for example, you were given that the solutions of a quadratic is:
x = {-3, 6}
.
Given that, you can say that the following are factors:
(x+3)
and
(x-6)
That is, if you saw:
(x+3)(x-6) = 0
you would say the solutions are x = {-3, 6}
.
To find the quadratic, multiply the two factors:
(x+3)(x-6)
Applying FOIL:
x^2 - 6x + 3x - 18
x^2 - 3x - 18 (This would be your quadratic)
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