SOLUTION: 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.

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
RELATED QUESTIONS
One integer is 2 units more than another. If the product of the two integers is equal to... (answered by math_helper)

1. One integer is 2 more than another. Their product is 35. Find the Integers 2. One... (answered by TimothyLamb)

An integer is 3 more than another. If the product of the two integers is 130, then find... (answered by ewatrrr)

One positive integer is four times another, a third integer is six more than the smaller... (answered by CubeyThePenguin)

The sum of two integers is 25. One less than twice the larger integer is equal to one... (answered by ikleyn)

the sum of 2 integers is 25. One less than twice the larger integer is equal to one more... (answered by CubeyThePenguin)

An integer is 14 more than 4 times another. If product of two integers is -6, what are... (answered by josgarithmetic)

If the product of 2 consecutive positive odd integers is 15 more than 3 times their sum,... (answered by stanbon)