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# Algebra

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Find all pairs of real numbers such that x + y = 10 and x^2 + y^2 = 56 + xy.
For example, to enter the solutions and , you would enter "(2,4),(-3,9)" (without the quotation marks).

Nov 19, 2021

#1
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The solutions are

$(\frac{\sqrt{93}}{3} + 5, -\frac{\sqrt{93}}{3} + 5)$
$(-\frac{\sqrt{93}}{3} + 5, \frac{\sqrt{93}}{3} + 5)$

Nov 19, 2021