Question

If x ^ 2 + y ^ 2 = 9 and xy = 8 , then x + y is equal to​

Answer 1

$x {}^{2} + y {}^{2} = 9 \: and \: xy = 8$

then x+y = ?

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

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

$(x + y) {}^{2} = 9 + 2(8)$

$x + y = \sqrt{9 + 16}$

$x + y = \sqrt{25}$

$x + y = 5$

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