Question

If x+y=3, x²+y²=5 then find the value of xy

Answer 1

`\huge\boxed{xy = 2}`

Explanation:

=>
`\sf (x+y)^2 = x^2 + y^2 + 2xy`

Given that
`\sf x + y = 3 , x^2 + y^2 = 5`

=>
`\sf (3)^2 = 5 + 2xy`

=>
`9 = 5 + 2xy`

=>
`9-5 = 2xy`

=>
`4 = 2xy`

Dividing both sides by 2

=> 2 = xy

OR

=> xy = 2