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Find one ordered pair $(x,y)$ of real numbers such that $x + y = 10$ and $x^3 + y^3 = 162 + x^2 + y^2.$

 Mar 20, 2024
 #1
avatar+128406 
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No real numbers make this true

 

See WolframAlpha's  solution here :  https://www.wolframalpha.com/input?i=x+%2B+y++%3D+10+%2C+x%5E3+%2B+y%5E3++%3D+x%5E2+%2B+y%5E2+%2B+162

 

 

cool cool cool

 Mar 20, 2024

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