SOLUTION: what is the 3 consecutive positive integers if the product two integers is 5 less than 5 times the largest integer

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Question 973896: what is the 3 consecutive positive integers if the product two integers is 5 less than 5 times the largest integer
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let the three consecutive numbers be x, %28x%2B1%29, %28x%2B2%29
if the product two integers is 5 less than 5 times the largest integer, then we have
x%28x%2B1%29%2B5=5%28x%2B2%29
x%5E2%2Bx%2B5=5x%2B10
x%5E2%2Bx%2B5-5x-10=0
x%5E2-4x-5=0....factor
x%5E2%2Bx-5x-5=0
%28x%5E2%2Bx%29-%285x%2B5%29=0
x%28x%2B1%29-5%28x%2B1%29=0
%28x-5%29%28x%2B1%29=0
solutions:
if %28x-5%29=0=>x=5
if %28x%2B1%29=0=>x=-1
so, since your integers are positive, disregard x=-1
your solution is:
x=5
%28x%2B1%29=6
%28x%2B2%29=7