Question

x²+y² if x+y=8 and xy =2​

Answer 1

Answer:

$\boxed{ \sf \implies {x}^{2} + {y}^{2} = 60}$

Step-by-step explanation:

$\huge\bf \: given \mapsto \: \: \: \: \: \: \: \: \\ \\ \tt \: x+y=8 \: and \: xy =2 \\ \\ \huge\bf NOW\\\:\sf \: {(x + y)}^{2} = {8}^{2} \\ \\ \sf \implies {x}^{2} + {y}^{2} + 2xy = 64 \\ \\ \sf \implies {x}^{2} + {y}^{2} = 64 - 2xy \\ \\ \sf \implies {x}^{2} + {y}^{2} = 64 - 2 \times 2 \\ \\ \boxed{ \sf \implies {x}^{2} + {y}^{2} = 60}$

Answer 2

Answer:

x^2+y^2=(x+y)2-2xy=(8)2-2.2=64-4=60