Question

If


`x - y = 12`

`√(xy ) = 3`
find the valve of

`{x }^(2) + {y}^(2)`
​

Answer 1

162

Explanation:

`{ √(xy) } = 3`

`= > ( { √(xy) })^(2) = {3}^(2)`

`= > xy = 9`

Also ,

`x - y = 12`

`= > {(x - y)}^(2) = {12}^(2)`

`= > {x}^(2) + {y}^(2) - 2xy = 144`

Putting the value of 'xy' above gives :-

`{x}^(2) + {y}^(2) - 2 * 9 = 144`

`= > {x}^(2) + {y}^(2) = 144 + 18 = 162`