Question

If x+y= -4 and xy= 2, then find the value of x^2+y^2

Answer 1

Answer:

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

(-4)^2 = x^2+ y^2 +2(2)

16 = x^2+y^2+4

16-4 = x^2+ y^2

x^2 + y^2 = 12

Therefore the answer is 12

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