Question

Solve this Question​

Answer 1

x-y=7

Squaring x-y=7

(x-y)²=7²

(x-y)²=49

x²-2xy+y²=49

x²-2(9)+y²=49...(since, xy=9)

x²-18+y²=49

x²-67+y²=0

x²+y²=67

Hope this helps you

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Answer 2

Answer:

$\bf\huge\fbox\red{ 67}$

Step-by-step explanation:

Given:-

$(x - y) = 7 \: and \: xy = 9$

Squaring ( x - y)

${(x - y)}^{2} = {(7)}^{2} \\ \\ {x}^{2} + {y}^{2} - 2xy = 49 \\ \\ {x}^{2} + {y}^{2} - 2(9) = 49 - - - - - (as \: xy = 9) \\ \\ {x}^{2} + {y}^{2} = 49 + 18 \\ \\ {x}^{2} + {y}^{2} = 67 \: answer$

$\huge\fbox\green{ x² + y² = 67}$