SOLUTION: This word problem has to do with quadratic equations. The difference of two integers is 12.Their product is 493.Find the integers.

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Question 98534: This word problem has to do with quadratic equations.
The difference of two integers is 12.Their product is 493.Find the integers.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X-Y=12 OR X=12+Y
XY=493 NOW SUBSTITUTE (12+Y) FOR X AND SOLVE.
(12+Y)Y=493
Y^2+12Y-493=0
(Y-17)(Y+29)=0
Y=17 ANSWER.
X=12+17=29 ANSWER.
PROOF
17*29=493
493=493