Find the value of x square + y square

In summary, the equation for finding the value of x square + y square is x^2 + y^2. To solve for x square + y square, plug in the given values for x and y into the equation and solve for the resulting expression. The value of x square + y square cannot be negative, as squaring a number always results in a positive value. It represents the sum of the squares of two numbers, x and y. This equation is only applicable for finding the value of x square + y square when given numerical values for x and y, and cannot be used for non-numerical values.
  • #1
mathlearn
331
0
If x-y= 1 & x2y - xy2 =2, Find the value of x2+y2

Any Ideas on how to begin?

Many Thanks :)
 
Mathematics news on Phys.org
  • #2
mathlearn said:
If x-y= 1 & x2y - xy2 =2, Find the value of x2+y2

Any Ideas on how to begin?

Many Thanks :)

you can factor 2nd equation to get xy(x-y) = 2.
now put from 1st equation value of x-y to get xy * 1 = 2 or xy =2

now $(x^2+y^2) = (x-y)^2 + 2xy = 1 ^2 + 2 * 2 = 5$
 
  • #3
kaliprasad said:
you can factor 2nd equation to get xy(x-y) = 2.
now put from 1st equation value of x-y to get xy * 1 = 2 or xy =2

now $(x^2+y^2) = (x-y)^2 + 2xy = 1 ^2 + 2 * 2 = 5$

Many Thanks :)
 

FAQ: Find the value of x square + y square

What is the equation for finding the value of x square + y square?

The equation for finding the value of x square + y square is: x2 + y2.

How do I solve for x square + y square when given specific values for x and y?

To solve for x square + y square, simply plug in the given values for x and y into the equation x2 + y2 and solve for the resulting expression.

Can the value of x square + y square be negative?

No, the value of x square + y square cannot be negative. Squaring a number always results in a positive value.

What does the value of x square + y square represent?

The value of x square + y square represents the sum of the squares of two numbers, x and y.

Can I use this equation to find the value of x square + y square for non-numerical values?

No, this equation is only applicable for finding the value of x square + y square when given numerical values for x and y. It cannot be used for non-numerical values.

Similar threads

Replies
3
Views
4K
Replies
19
Views
2K
Replies
1
Views
1K
Replies
5
Views
1K
Replies
2
Views
2K
Replies
13
Views
1K
Replies
2
Views
919
Replies
4
Views
3K
Back
Top