Question

Given x – y = 3 and xy = 1. Find x²

+ y² pls help​

Answer 1

Step-by-step explanation:

we know,

x - y =3

and,xy =1

so,

x^2+y^2

=(x-y)^2 + 2xy [ since x-y =3

= 3^2 + 2.1 and xy =1]

= 9 +2

= 11

Answer 2

Answer:

$x - y = 3 \\ \\ squaring \: both \: sides \\ \\ \\ {(x - y)}^{2} = {3}^{2} \\ \\ {x}^{2} + {y}^{2} - 2xy = 9 \\ \\ \\ {x}^{2} + {y}^{2} - 2 \times 1 = 9 \\ \\ \\ {x}^{2} + {y}^{2} - 2 = 9 \\ \\ \\ {x}^{2} + {y}^{2} = 11$