2x-2/x=54

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Solution for 2x-2/x=54 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-(2/x) = 54 // - 54

2*x-(2/x)-54 = 0

2*x-2*x^-1-54 = 0

2*x^1-2*x^-1-54*x^0 = 0

(2*x^2-54*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-54*x^1-2*x^0) = 0

x^1

2*x^2-54*x-2 = 0

2*x^2-54*x-2 = 0

DELTA = (-54)^2-(-2*2*4)

DELTA = 2932

DELTA > 0

x = (2932^(1/2)+54)/(2*2) or x = (54-2932^(1/2))/(2*2)

x = (2*733^(1/2)+54)/4 or x = (54-2*733^(1/2))/4

x in { (54-2*733^(1/2))/4, (2*733^(1/2)+54)/4}

x in { (54-2*733^(1/2))/4, (2*733^(1/2)+54)/4 }

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