Math, asked by luckypal45516, 8 months ago

If x-y = 7 and xy=9, then x^2 + y^2 is equal to​

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Answered by AVENGERS1628
2

Answer:

Answer. x^2 + y^2 = 49 + 2xy = 49+2*9 = 49+18 = 67. Hope this helps you!

Step-by-step explanation:

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Answered by Anonymous
1

\begin{gathered}x-y = 7\\ \\ \Rightarrow (x-y)^2 = 7^2\\ \\ \Rightarrow x^2+y^2-2xy=49 \\ \\ \Rightarrow x^2+y^2-2 \times 9=49 \\ \\ \Rightarrow x^2+y^2-18=49 \\ \\ \Rightarrow x^2+y^2= 49+18\\ \\ \Rightarrow x^2+y^2 = 67\end{gathered}

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