SOLUTION: the sum of the squares of two consecutive positive even integers is 164. find the two integers.

Question 821827: the sum of the squares of two consecutive positive even integers is 164. find the two integers.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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y = x + 2
xx + yy = 164
xx + (x + 2)(x + 2) = 164
xx + xx + 4x + 4 = 164
2xx + 4x - 160 = 0
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the above quadratic equation is in standard form, with a=2, b=4, and c=-160
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 4 -160
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
x = 8
x = -10
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the negative root doesn't meet the requirements of the problem statement, so use the positive root
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answer:
x = 8
y = 10
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