SOLUTION: the sum of two numbers is 9 and their product is 20. use a quadratic equation to determine the two numbers

Question 521728: the sum of two numbers is 9 and their product is 20. use a quadratic equation to determine the two numbers

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be A and B. Then...
and...

Rewrite the first equation as:
and substitute for a in the second equation.
Simplify.
Rewrite as a quadratic equation in standard form.
Apply the quadratic formula: (x is really B, one of the two numbers). In this problem, from the quadratic equation, a = -1, b = 9, and c = -20.

or
or
The two numbers are 4 and 5.
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