2x-47=1/x*3

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Solution for 2x-47=1/x*3 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-47 = 3*(1/x) // - 3*(1/x)

2*x-(3*(1/x))-47 = 0

2*x-3*x^-1-47 = 0

2*x^1-3*x^-1-47*x^0 = 0

(2*x^2-47*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-47*x^1-3*x^0) = 0

x^1

2*x^2-47*x-3 = 0

2*x^2-47*x-3 = 0

DELTA = (-47)^2-(-3*2*4)

DELTA = 2233

DELTA > 0

x = (2233^(1/2)+47)/(2*2) or x = (47-2233^(1/2))/(2*2)

x = (2233^(1/2)+47)/4 or x = (47-2233^(1/2))/4

x in { (47-2233^(1/2))/4, (2233^(1/2)+47)/4}

x in { (47-2233^(1/2))/4, (2233^(1/2)+47)/4 }

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