Question

if x-y=9and xy=16 find the value of x2+y2​

Answer 1

Answer:

49

Step-by-step explanation:

We have, x+y=9 and xy=16

(x+y)²=x²+2xy+y²=81

x²+y²=81−2xy=81−2(16)=81−32=49

Answer 2

Step-by-step explanation:

Given, x-y = 9, xy = 16

By condition,

(x-y)² = x²-2xy+y²

x²-(2×16)+y² = (9)²

x²-32+y² = 81

x²+y² = 81+32

x²+y² = 113