10/x-7/2x

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Solution for 10/x-7/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

10/x-((7/2)*x) = 0

(-7/2)*x+10/x = 0

10*x^-1-7/2*x^1 = 0

(10*x^0-7/2*x^2)/(x^1) = 0 // * x^2

x^1*(10*x^0-7/2*x^2) = 0

x^1

(-7/2)*x^2+10 = 0

(-7/2)*x^2+10 = 0

DELTA = 0^2-(4*10*(-7/2))

DELTA = 140

DELTA > 0

x = (140^(1/2)+0)/(2*(-7/2)) or x = (0-140^(1/2))/(2*(-7/2))

x = (2*35^(1/2))/(-7) or x = (-2*35^(1/2))/(-7)

x in { (2*35^(1/2))/(-7), (-2*35^(1/2))/(-7)} 

x in { (2*35^(1/2))/(-7), (-2*35^(1/2))/(-7) }

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