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18-08-2020
Mathematics

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If $(x + y)^2 = 1$ and $xy = -4$, what is the value of $x^2 + y^2$? Please Help!!

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LammettHash LammettHash

18-08-2020

Expanding the first expression gives

[tex](x+y)^2=x^2+2xy+y^2=1[/tex]

Since [tex]xy=-4[/tex], we have

[tex]x^2+2(-4)+y^2=1\implies\boxed{x^2+y^2=9}[/tex]

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