SOLUTION: The product of two consecutive even integers is 120. Find the integers?

Question 930401: The product of two consecutive even integers is 120. Find the integers?
Found 2 solutions by Alan3354, TimothyLamb:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The product of two consecutive even integers is 120. Find the integers?
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Try pairs of factors of 120, look for a pair that differ by 2.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
y = x + 2
xy = 120
x(x + 2) = 120
xx + 2x - 120 = 0
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the above quadratic equation is in standard form, with a=1, b=2 and c=-120
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 2 -120
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 10
x = -12
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the negative root doesn't fit the problem statement, so use the positive root:
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x = 10
y = 12
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answer:
x = 10
y = 12
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

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