Question 817484: find two positive numbers whose difference is 6 and whose product is 1080
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! n - m = 6
n = 6 + m
nm = 1080
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nm = 1080
(6 + m)m = 1080
mm + 6m = 1080
m^2 + 6m - 1080 = 0
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the above quadratic equation is in standard form, with a=1, b=6, and c=-1080
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to solve the quadratic equation, plug this:
1 6 -1080
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic roots are:
m = 30
m = -36
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m is positive according the problem statement, so use the positive root:
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answer:
m = 30
n = 36
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