4x-3/1-2x=x+3/x-5

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Solution for 4x-3/1-2x=x+3/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(2*x)-(3/1) = x+3/x-5 // - x+3/x-5

4*x-(2*x)-x-(3/x)-(3/1)+5 = 0

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

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

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

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

x^1

x^2+2*x-3 = 0

x^2+2*x-3 = 0

DELTA = 2^2-(-3*1*4)

DELTA = 16

DELTA > 0

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

x = 1 or x = -3

x in { -3, 1} 

x in { -3, 1 }

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