Question

8. Given (x + y) = 13 and xy = 22, find the value of x2 + y2.​

Answer 1

Answer:

125

Step-by-step explanation:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$

${(13)}^{2} = {x}^{2} + {y}^{2} + 2 \times 22$

$169 = {x}^{2} + {y}^{2} + 44$

${x}^{2} + {y}^{2} = 169 - 44$

${x}^{2} + {y}^{2} = 125$

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