Question

if (x-y)=5 and xy=14 find the value of x²+y²​

Answer 1

Answer:

please find attachment

Answer 2

Step-by-step explanation:

$given \: \\ (x - y) = 5 \\ squaring \: both \: sides \: \\ {(x - y)}^{2} = {(5)}^{2} \\ {x}^{2} + {y}^{2} - 2xy = 25 \\ {x}^{2} + {y}^{2} - 2 \times 14 = 25 \\ {x}^{2} + {y}^{2} - 28 = 25 \\ {x}^{2} + {y}^{2} = 25 + 28 \\ {x}^{2} + {y}^{2} = 53$

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