Question

X + Y is equal to 11 and x y equal to 30 find the value of x squared plus y squared

Answer 1

hi !

given :

x + y = 11

xy = 30

Now,

( x + y)² = x² + y² + 2xy

=> ( 11 )² = x² + y² + 2 × 30

=> 121 = x² + y² + 60

=> x² + y² = 121 - 60

=> x² + y² = 61


So, answer is 61.

Thanks **

Answer 2

Hey there !

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Given :

x + y = 11

xy = 30

To find :

x² + y²

Solution:

We know that

( x + y )² = x² + y² + 2xy

=> ( 11 )² = x² + y² + 2 × 30

=> 121 = x² + y² + 60

=> x² + y² = 121 - 60

=> x² + y² = 61

Hence,

The answer is x² + y² = 61.

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Thanks for the question !