12/x-5/4x

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Solution for 12/x-5/4x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

x^1*(12*x^0-5/4*x^2) = 0

x^1

(-5/4)*x^2+12 = 0

(-5/4)*x^2+12 = 0

DELTA = 0^2-(4*12*(-5/4))

DELTA = 60

DELTA > 0

x = (60^(1/2)+0)/(2*(-5/4)) or x = (0-60^(1/2))/(2*(-5/4))

x = -4/5*15^(1/2) or x = 4/5*15^(1/2)

x in { -4/5*15^(1/2), 4/5*15^(1/2)} 

x in { -4/5*15^(1/2), 4/5*15^(1/2) }

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