Question

 if x² + y²= 9 and xy= 8, then x+ y is equal to what​

Answer 1

Answer:

x+y is 5

Step-by-step explanation:

x2 + y2+ 2xy = (x+y)2

Answer 2

$\huge\boxed{\underline{\underline{\green{\tt Solution}}}}$

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

$\implies \: {(x + y)}^{2} = 9 + (2 \times 8)$

$\implies \: {(x + y)}^{2} = 25$

$\implies \: x \: = \pm \: 5$

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