2x-1/x+1=5/4

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Solution for 2x-1/x+1=5/4 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-(1/x)+1 = 5/4 // - 5/4

2*x-(1/x)-(5/4)+1 = 0

2*x-x^-1-5/4+1 = 0

2*x^1-1*x^-1-1/4*x^0 = 0

(2*x^2-1/4*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-1/4*x^1-1*x^0) = 0

x^1

2*x^2+(-1/4)*x-1 = 0

2*x^2+(-1/4)*x-1 = 0

DELTA = (-1/4)^2-(-1*2*4)

DELTA = 129/16

DELTA > 0

x = ((129/16)^(1/2)-(-1/4))/(2*2) or x = (-(-1/4)-(129/16)^(1/2))/(2*2)

x = ((129/16)^(1/2)+1/4)/4 or x = (1/4-(129/16)^(1/2))/4

x in { (1/4-(129/16)^(1/2))/4, ((129/16)^(1/2)+1/4)/4}

x in { (1/4-(129/16)^(1/2))/4, ((129/16)^(1/2)+1/4)/4 }

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