Question

x+y =5 and xy=-1 then X2 +y2 is

Answer 1

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Step-by-step explanation:

x+y =5 and xy=-1 then X2 +y2 is ?

$(x+y)^{2} = x^{2} + y^{2} + 2xy\\(5)^{2} = x^{2} + y^{2} + 2(-1)\\(5)^{2} = x^{2} + y^{2} - 2\\(25) = x^{2} + y^{2} - 2\\25 = x^{2} + y^{2} - 2\\25 + 2 = x^{2} + y^{2}\\27 = x^{2} + y^{2}$

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