Question

If x2 + y2 = 34 and xy = 21/2 find the value of 2(x + y)2 + (x - y)2.​

Answer 1

Answer:

13

Step-by-step explanation:

Given x² + y² = 34, xy = 21/2

To find :

2(x + y)² + (x - y)²

= 2( x² + y² + 2xy ) + ( x² + y² - 2xy)

= 2( 34 + 2 * 21/2 ) + ( 34 -2 * 21/2 )

= 123