Question

If x + y = 12 and xy = 14, find the value of (x + y)
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Answer 1

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If x + y = 12 and xy = 14, find the value of (x - y)

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$\:\:\:\: \: \: \: \: \: \: \: \: \: \: \large\mathfrak{\large\mathcal{\bf{\boxed{\large\mathcal{2\sqrt{22}}}}}}$

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$= > (x - y) {}^{2} = (x + y) {}^{2} - 4xy \\ = > (x - y) {}^{2} = 12 {}^{2} - 4 \times 14 \\ = >( x - y) = \sqrt{144 - 56} \\ = > (x - y) = \sqrt{88} \\ = > x - y = 2 \sqrt{22}$

$\huge\mathcal\green{\underline{hope\:\: this\:\: helps\:\: you}}$