4/x=14/5x+2

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Solution for 4/x=14/5x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = (14/5)*x+2 // - (14/5)*x+2

4/x-((14/5)*x)-2 = 0

(-14/5)*x+4/x-2 = 0

4*x^-1-14/5*x^1-2*x^0 = 0

(4*x^0-14/5*x^2-2*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-14/5*x^2-2*x^1) = 0

x^1

(-14/5)*x^2-2*x+4 = 0

(-14/5)*x^2-2*x+4 = 0

DELTA = (-2)^2-(4*4*(-14/5))

DELTA = 244/5

DELTA > 0

x = ((244/5)^(1/2)+2)/(2*(-14/5)) or x = (2-(244/5)^(1/2))/(2*(-14/5))

x = -5/28*((244/5)^(1/2)+2) or x = -5/28*(2-(244/5)^(1/2))

x in { -5/28*((244/5)^(1/2)+2), -5/28*(2-(244/5)^(1/2))} 

x in { -5/28*((244/5)^(1/2)+2), -5/28*(2-(244/5)^(1/2)) }

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