(2/x-7)-(4/3x-6)

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Solution for (2/x-7)-(4/3x-6) equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-((4/3)*x)-7+6 = 0

(-4/3)*x+2/x-7+6 = 0

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

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

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

x^1

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

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

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

DELTA = 35/3

DELTA > 0

x = ((35/3)^(1/2)+1)/(2*(-4/3)) or x = (1-(35/3)^(1/2))/(2*(-4/3))

x = -3/8*((35/3)^(1/2)+1) or x = -3/8*(1-(35/3)^(1/2))

x in { -3/8*((35/3)^(1/2)+1), -3/8*(1-(35/3)^(1/2))}

x in { -3/8*((35/3)^(1/2)+1), -3/8*(1-(35/3)^(1/2)) }

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