SOLUTION: The product of two consective positive numbers is 72.find the numbers

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Question 991069: The product of two consective positive numbers is 72.find the numbers
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52810) About Me  (Show Source):
Answer by MathLover1(20850) About Me  (Show Source):
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Let x = first number (smaller)
Let x+%2B+1 = second number (larger)
given:
x%28x%2B1%29=72
x%5E2%2Bx=72
x%5E2%2Bx-72=0.............factor completely
x%5E2%2B9x-8x-72=0
%28x%5E2%2B9x%29-%288x%2B72%29=0
x%28x%2B9%29-8%28x%2B9%29=0
%28x-8%29%28x%2B9%29+=+0
solutions:
%28x-8%29=+0=>x=8
%28x%2B9%29+=+0=>x=-9=> disregard,we need two consecutive positive numbers
so, first number is x=8 and second number is x%2B1=9