2x^2-2x/x-1=a

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Solution for 2x^2-2x/x-1=a equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

2*x^2-((2*x)/x)-1 = a // - a

2*x^2-a-((2*x)/x)-1 = 0

2*x^2-a-2-1 = 0

2*x^2 = -(-a-3) // : 2

x^2 = (a+3)/2

x^2 = (a+3)/2 // ^ 1/2

abs(x) = ((a+3)^(1/2))/(2^(1/2))

x = ((a+3)^(1/2))/(2^(1/2)) or x = -(((a+3)^(1/2))/(2^(1/2)))

x in { ((a+3)^(1/2))/(2^(1/2)), -(((a+3)^(1/2))/(2^(1/2))) }

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