233k views
3 votes
If


x - y = 12

√(xy ) = 3
find the valve of

{x }^(2) + {y}^(2)


If x - y = 12 √(xy ) = 3 find the valve of {x }^(2) + {y}^(2) ​-example-1
User Xtiger
by
4.5k points

1 Answer

3 votes

Answer:

Given :

x-y=12

xy= 3²

=9

Equation formed:


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

Step by step explanation:


{(12)}^(2) = {x}^(2) + {y}^(2) - 2 * 9 \\ 144 + 18 = {x}^(2) + {y}^(2) \\ = 162

hope it helped you:)

User Ivona Tau
by
3.8k points