Question

Find the average value of f(x y)=x^2+4y^2 x^2+y^2=9

Answer 1

Answer:

the value of x is 2 and you is 3

Step-by-step explanation:

we get answer your elimination method

Answer 2

Given:

f(x , y) = x² + 4 y² x² + y² = 9.

To Find:

The average value of the given expression.

Solution:

We have,

f(x , y) = x² + 4 y² x² + y² = 9.

(x)² + 2²(x)²(y)² +(y)² = 9.

x² + 2x²y² + 2x²y² + y² = 9.

x²(1 + 2y²) + 2(1 + 2y²) = 9.

(x² + 2)(1 + 2y²) = 9.

If, (x² + 2) = 9 ,

x = √7.

If, (1 + 2y²) = 9,

y = 2.

Hence, the values of x and y are √7 and 2.