Question 1084877: The product of two consecutive integers is increased by five times the larger integer the result is 117 find the integers
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! x and x+1 are the integers
x(x+1)+5(x+1)=117
x^2+x+5x+5=117
x^2+6x-112=0
(x-8)(x+14)=0
x=8, integers are 8 and 9, product is 72 and 5 times 9 is 45, 72+45=117
x=-14, integers are -14 and -13, product is 182 and 5*-13=-65, and 182-65=117.
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