SOLUTION: the larger of two positive numbers is 5 more than the smaller. the product of the number is 36. find the number

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Question 31185: the larger of two positive numbers is 5 more than the smaller. the product of the number is 36. find the number
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller positive number be x
Let the larger positive number be x+5

(x)(x+5)=36
x%5E2%2B5x-36=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=5, c=-36
x=%28-5%2B-sqrt%285%5E2-4%2A1%2A-36%29%29%2F%282%2A1%29
x=%28-5%2B-sqrt%2825%2B144%29%29%2F2 --> simplfy and reomve the negative:
x=%28-5%2B13%29%2F2
x=8%2F2
x=4
4+5=9
Hence, the two numbers are 4 and 9.
Paul.