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

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 Click here to see ALL problems on Numbers Word Problems 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(6287)   (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.