Question

If x+y=5 and xy=5 then find the value of x^2+ y^2

Answer 1

Step-by-step explanation:

( x + y ) = 5

squaring both side

( x + y ) ^2 = 25

x ^2 + y^2 + 2xy = 25

(x^2 + y^2)+2(5) =25

x^2 + y^2 = 25 - 10

x^2 + y^2 = 15