Question 925150: The product of two consecutive positive integers is 27 more than five times the larger integer. Find the integers.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! xy = 5y + 27
y = x + 1
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xy = 5y + 27
x(x + 1) = 5(x + 1) + 27
xx + x = 5x + 5 + 27
xx - 4x - 32 = 0
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the above quadratic equation is in standard form, with a=1, b=-4, and c=-32
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -4 -32
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the quadratic has two real roots at:
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x = 8
x = -4
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the negative root doesn't fit the problem statement, so use the positive root:
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answer:
x = 8
y = 9
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