If $x - y = 7$ and $x y = 9$ , find the value of $(x^{2} + y^{2})$

67

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32

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55

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61

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Solution

The correct option is A $67$
Given, $x - y = 7$ and $x y = 9$
$x - y = 7$
Squaring both sides, we get,
$(x - y)^{2} = 7^{2}$
$=> x^{2} + y^{2} - 2 x y = 49$
$=> x^{2} + y^{2} - 2 (9) = 49$
$=> x^{2} + y^{2} = 49 + 18$
$=> x^{2} + y^{2} = 67$

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Similar questions

If $x + y = 12$ and $x y = 32$ , find the value of $x^{2} + y^{2}$ .

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