2x-3/x-5=3

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Solution for 2x-3/x-5=3 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-(3/x)-5 = 3 // - 3

2*x-(3/x)-5-3 = 0

2*x-3*x^-1-5-3 = 0

2*x^1-3*x^-1-8*x^0 = 0

(2*x^2-8*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-8*x^1-3*x^0) = 0

x^1

2*x^2-8*x-3 = 0

2*x^2-8*x-3 = 0

DELTA = (-8)^2-(-3*2*4)

DELTA = 88

DELTA > 0

x = (88^(1/2)+8)/(2*2) or x = (8-88^(1/2))/(2*2)

x = (2*22^(1/2)+8)/4 or x = (8-2*22^(1/2))/4

x in { (8-2*22^(1/2))/4, (2*22^(1/2)+8)/4}

x in { (8-2*22^(1/2))/4, (2*22^(1/2)+8)/4 }

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