Question

if x+y=10 and xy=24 then what is the value of x×x+y×y

Answer 1

Answer:

x+y=10

squaring on both sides

(x+y)²=100

x²+y²+2xy=100

Since xy=24

x²+y²+48=100

x²+y²=52

Answer 2

Answer:

52

Step-by-step explanation:

GIVEN: x+y=10   and    xy = 24

TO FIND:  x²+y²

             (x+y)² = x²+y²+2xy

               (10)² = x²+y²+(2*24)

       x²+y²+48 = 100

             x²+y² = 100-48

         ∴ x²+y² = 52

Hope this helpz :)