(2x-3/x+5)-(4x/x+5)=6

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Solution for (2x-3/x+5)-(4x/x+5)=6 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-(3/x)-((4*x)/x)-5+5 = 6 // - 6

2*x-(3/x)-((4*x)/x)-6-5+5 = 0

2*x-3*x^-1-6-5-4+5 = 0

2*x^1-3*x^-1-10*x^0 = 0

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

x^1*(2*x^2-10*x^1-3*x^0) = 0

x^1

2*x^2-10*x-3 = 0

2*x^2-10*x-3 = 0

DELTA = (-10)^2-(-3*2*4)

DELTA = 124

DELTA > 0

x = (124^(1/2)+10)/(2*2) or x = (10-124^(1/2))/(2*2)

x = (2*31^(1/2)+10)/4 or x = (10-2*31^(1/2))/4

x in { (10-2*31^(1/2))/4, (2*31^(1/2)+10)/4}

x in { (10-2*31^(1/2))/4, (2*31^(1/2)+10)/4 }

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