2/x-4x=3x-13

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Solution for 2/x-4x=3x-13 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-(4*x) = 3*x-13 // - 3*x-13

2/x-(4*x)-(3*x)+13 = 0

2/x-4*x-3*x+13 = 0

2*x^-1-7*x^1+13*x^0 = 0

(13*x^1-7*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(13*x^1-7*x^2+2*x^0) = 0

x^1

13*x-7*x^2+2 = 0

13*x-7*x^2+2 = 0

DELTA = 13^2-(-7*2*4)

DELTA = 225

DELTA > 0

x = (225^(1/2)-13)/(-7*2) or x = (-225^(1/2)-13)/(-7*2)

x = -1/7 or x = 2

x in { -1/7, 2} 

x in { -1/7, 2 }

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