4/(x)-2=5/2x

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Solution for 4/(x)-2=5/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 44

DELTA > 0

x = (44^(1/2)+2)/(2*(-5/2)) or x = (2-44^(1/2))/(2*(-5/2))

x = (2*11^(1/2)+2)/(-5) or x = (2-2*11^(1/2))/(-5)

x in { (2*11^(1/2)+2)/(-5), (2-2*11^(1/2))/(-5)} 

x in { (2*11^(1/2)+2)/(-5), (2-2*11^(1/2))/(-5) }

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