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# Algebra

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

Jul 2, 2021

#1
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idk if this is right, here's my best shot.

this is just a system of equations:

$$\begin{pmatrix}x=5+\sqrt{69},\:&y=5-\sqrt{69}\\ x=5-\sqrt{69},\:&y=5+\sqrt{69}\end{pmatrix}$$

Jul 2, 2021