4/x-1=24/5x+4

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Solution for 4/x-1=24/5x+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-1 = (24/5)*x+4 // - (24/5)*x+4

4/x-((24/5)*x)-4-1 = 0

(-24/5)*x+4/x-4-1 = 0

4*x^-1-24/5*x^1-5*x^0 = 0

(4*x^0-24/5*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-24/5*x^2-5*x^1) = 0

x^1

(-24/5)*x^2-5*x+4 = 0

(-24/5)*x^2-5*x+4 = 0

DELTA = (-5)^2-(4*4*(-24/5))

DELTA = 509/5

DELTA > 0

x = ((509/5)^(1/2)+5)/(2*(-24/5)) or x = (5-(509/5)^(1/2))/(2*(-24/5))

x = -5/48*((509/5)^(1/2)+5) or x = -5/48*(5-(509/5)^(1/2))

x in { -5/48*((509/5)^(1/2)+5), -5/48*(5-(509/5)^(1/2))} 

x in { -5/48*((509/5)^(1/2)+5), -5/48*(5-(509/5)^(1/2)) }

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