Question

If x + y = 3, x² + y² = 5 then xy is

Answer 1

Answer:

(x+y)^2=x^2+y^2+2xy

3^2=5+2xy

9=5+2xy

9-5=2xy

4/2=xy

2=xy

Step-by-step explanation:

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Answer 2

Answer:

If  $x+y=3$ and $x^{2}+ y^{2} =5$ then the value of $xy=2$ .

Step-by-step explanation:

This question can be answered by using mathematical identities.

Given $x+y=3$  and  $x^{2} +y^{2} =5$ , we have to find the value of $xy$ .

We know the identity $(x+y)^{2} =x^{2} +y^{2} +2xy$

Substitute the given values to the equation we get,

                                        $3^{2} =5+2xy\\\\9=5+2xy\\\\4=2xy\\\\xy=2$

Thus the value of $xy=2$ .

Hence the answer.

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