Question

If x plus y = 3 and x^ plus y^ = 5 then xy is ?

Answer 1

Answer:

the value of xy is 2.

Step-by-step explanation:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ = > {3}^{2} = 5 + 2xy \\ = > 9 - 5 = 2xy \\ = > 2xy = 4 \\ = > xy = \frac{4}{2} = 2$

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Answer 2

Answer:

xy = 2

Step-by-step explanation:

x+y = 3,   x² + y² = 9

(x+y)² = 9

(x+y)² = x² + y² + 2xy

2xy = (x+y)² - (x² + y²) = 9 - 5 = 4

xy = 4/2 = 2

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