SOLUTION: [ find two numbers whose sum is 13, and whose sum of squares is 229 ]

Question 822450: [ find two numbers whose sum is 13, and whose sum of squares is 229 ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x + y = 13
xx + yy = 229
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y = 13 - x
xx + (13 - x)(13 - x) = 229
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xx + 169 - 26x + xx = 229
2xx - 26x - 60 = 0
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the above quadratic equation is in standard form, with a=2, b=-26, and c=-60
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -26 -60
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
x = 15
x = -2
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answer:
the two numbers are: 15 and -2
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