Question

If x+y=3 and xy=2 find the value of x^2+y^2​

Answer 1

5

Explanation:

We know that

`x + y = 3`

and

`xy = 2`

Solve for x in first variable

`x = 3 - y`

Substitute this into second equation

`(3 - y)y = 2`

`- {y}^(2) + 3y - 2`

Simplify

`{y}^(2) - 3y + 2`

`(y - 1)(y - 2)`

`y = 1`

`y = 2`

So x or y can be

`x = 1 \: \: y = 2`

or

`x = 2 \: \: \: y = 1`

So we need to find x^2 and y^2.

`{2}^(2) + {1}^(2) = 5`

Answer 2

yes but something like that