2x-1/x-3+5-4x/3-x=6

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Solution for 2x-1/x-3+5-4x/3-x=6 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-((4*x)/3)-x-(1/x)-3+5 = 6 // - 6

2*x-((4*x)/3)-x-(1/x)-6-3+5 = 0

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

-1/3*x^1-1*x^-1-4*x^0 = 0

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

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

x^1

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

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

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

DELTA = 44/3

DELTA > 0

x = ((44/3)^(1/2)+4)/(2*(-1/3)) or x = (4-(44/3)^(1/2))/(2*(-1/3))

x = -3/2*((44/3)^(1/2)+4) or x = -3/2*(4-(44/3)^(1/2))

x in { -3/2*((44/3)^(1/2)+4), -3/2*(4-(44/3)^(1/2))}

x in { -3/2*((44/3)^(1/2)+4), -3/2*(4-(44/3)^(1/2)) }

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