14-2x+3/x-1=10

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Solution for 14-2x+3/x-1=10 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x-(2*x)-1+14 = 10 // - 10

3/x-(2*x)-10-1+14 = 0

3/x-2*x-10-1+14 = 0

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

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

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

x^1

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

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

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

DELTA = 33

DELTA > 0

x = (33^(1/2)-3)/(-2*2) or x = (-33^(1/2)-3)/(-2*2)

x = (33^(1/2)-3)/(-4) or x = (33^(1/2)+3)/4

x in { (33^(1/2)-3)/(-4), (33^(1/2)+3)/4} 

x in { (33^(1/2)-3)/(-4), (33^(1/2)+3)/4 }

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