6/x+4=12/5x-13

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Solution for 6/x+4=12/5x-13 equation:


D( x )

x = 0

x = 0

x = 0

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

6/x+4 = (12/5)*x-13 // - (12/5)*x-13

6/x-((12/5)*x)+4+13 = 0

(-12/5)*x+6/x+4+13 = 0

6*x^-1-12/5*x^1+17*x^0 = 0

(17*x^1-12/5*x^2+6*x^0)/(x^1) = 0 // * x^2

x^1*(17*x^1-12/5*x^2+6*x^0) = 0

x^1

(-12/5)*x^2+17*x+6 = 0

(-12/5)*x^2+17*x+6 = 0

DELTA = 17^2-(4*6*(-12/5))

DELTA = 1733/5

DELTA > 0

x = ((1733/5)^(1/2)-17)/(2*(-12/5)) or x = (-(1733/5)^(1/2)-17)/(2*(-12/5))

x = -5/24*((1733/5)^(1/2)-17) or x = 5/24*((1733/5)^(1/2)+17)

x in { -5/24*((1733/5)^(1/2)-17), 5/24*((1733/5)^(1/2)+17)}

x in { -5/24*((1733/5)^(1/2)-17), 5/24*((1733/5)^(1/2)+17) }

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