SOLUTION: the sum of two numbers is 23 and their products is 132. find the two numbers.

Question 206937: the sum of two numbers is 23 and their products is 132. find the two numbers.

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and y, then...
1) "the sum of two numbers is 23.."
2) "...their product is 132."
Rewrite equation 1) as: and substitute this for x into equation 2).
2a) Solve for y.
2a) Rearrange into standard quadratic form.
2a) Factor.
2a) Apply the zero product rule.
or which means that:
or
The two numbers are 11 and 12.
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