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Question 604020: An integer is 3 more than another. If the product of the two integers is equal to 2 more than four times their sum, then find the integers.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! An integer is 3 more than another.
x and (x+3)
;
If the product of the two integers is equal to 2 more than four times their sum,
x(x+3) = 4(2x+3) + 2
x^2 + 3x = 8x + 12 + 2
x^2 + 3x - 8x - 12 - 2 = 0
x^2 - 5x - 14 = 0
Factors to
(x-7)(x+2) = 0
then find the integers.
Two solutions
x = 7, then other integer = 10
x = -2,then other integer = +1
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