SOLUTION: If u multiply a no with its consecutive no the result of multiplication is equal to the sum of these 2numbers plus 19 then what is the no?

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Question 764149: If u multiply a no with its consecutive no the result of multiplication is equal to the sum of these 2numbers plus 19 then what is the no?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n and n+1
n(n+1)=n+(n+1)+19

n%5E2%2Bn=2n%2B19
n%5E2=n%2B19
n%5E2-n-19=0

n=%281%2B-+sqrt%281%2B4%2A19%29%29%2F2
n=%281%2B-+sqrt%2881%29%29%2F2
n=%281%2B-+9%29%2F2
n=-4 or n=5