Question

x-y=8,xy=5 find xsquare + ysquare​

Answer 1

Answer:

74

Step-by-step explanation:

${(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy \\ \\ {x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ \\ {x}^{2} + {y}^{2} = {8}^{2} + 2(5) \\ \\ {x}^{2} + {y}^{2} = 74$

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Answer 2

Answer:

74

Step-by-step explanation:

$\begin{lgathered}{(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy \\ \\ {x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ \\ {x}^{2} + {y}^{2} = {8}^{2} + 2(5) \\ \\ {x}^{2} + {y}^{2} = 74 \\ \\\end{lgathered}$