Question

If xy=24 and x2+y2=52 find x+y

Answer 1

Step-by-step explanation:

GIVEN THAT

x^2 + y^2 = 52 ----->[eq 1 ]

xy = 24 ---->[ eq 2]

by the formula (x+y)^2

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

= (52) + 2(24)

= 52+48

(x+y)^2 = 100

x+y =( 100 ) ^1/2

x+y = 10