5/x=(10/3x)+4

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Solution for 5/x=(10/3x)+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x = (10/3)*x+4 // - (10/3)*x+4

5/x-((10/3)*x)-4 = 0

(-10/3)*x+5/x-4 = 0

5*x^-1-10/3*x^1-4*x^0 = 0

(5*x^0-10/3*x^2-4*x^1)/(x^1) = 0 // * x^2

x^1*(5*x^0-10/3*x^2-4*x^1) = 0

x^1

(-10/3)*x^2-4*x+5 = 0

(-10/3)*x^2-4*x+5 = 0

DELTA = (-4)^2-(4*5*(-10/3))

DELTA = 248/3

DELTA > 0

x = ((248/3)^(1/2)+4)/(2*(-10/3)) or x = (4-(248/3)^(1/2))/(2*(-10/3))

x = -3/20*((248/3)^(1/2)+4) or x = -3/20*(4-(248/3)^(1/2))

x in { -3/20*((248/3)^(1/2)+4), -3/20*(4-(248/3)^(1/2))} 

x in { -3/20*((248/3)^(1/2)+4), -3/20*(4-(248/3)^(1/2)) }

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