Question

if xy=15 and x+y=8 then find the value of x2+y2???​

Answer 1

Answer:

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

x^2+y^2= (8)^2 -2*15

x^2+y^2= 64-30 = 34 answer

Answer 2

◘ It is given that, ◘

x + y = 8 and xy = 15.

◘ To find ◘

The value of x² + y².

◘ Solution ◘

We know,

x² + y² = (x + y)² - 2xy

⇒x² + y² = (8)² - 2(15)

⇒x² + y² = 64 - 30

$\underline{\displaystyle{\sf{\huge\bold{\boxed{\boxed{x^2+y^2=34}}}}}}$