Question

if x+y=4andxy=2 then x^2+y^2=?​

Answer 1

Answer:

ANSWER IS 12

Step-by-step explanation:

X²+Y² = (X+Y)²-2XY

= (4)²-2×2

= 16-4

= 12

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Answer 2

Answer:

given x + y = 4

make square of both side

so

( x + y)² = 4²

using identity ( a + b) ² = a² + b² + 2ab

( x + y) ² = x² + y² + 2xy = 4²

= x² + y ² + 2xy = 16

= x² + y² = 16 -2xy

given 2xy = 4

= 16 - 2× 2

= 16 -4

= 12

x² + y² =12 ANS

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