Question

If x^2 + y^2 = 9 and xy = 8 , then find ( x + y )​

Answer 1

Answer:

Here is your answer mate ✨✨

x²+y²=9

(x+y)²-2xy = 9

(x+y)²-16 = 9

(x+y)² = 25

(x+y) = 5

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Answer 2

Answer:

5

Step-by-step explanation:

${x}^{2} + {y}^{2} = 9 \\ xy = 8 \\ {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 9 + 2(8) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 25 \\ x \: + \: \: y \: \: = \sqrt{25} = 5$

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