10/x-6/4x

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Solution for 10/x-6/4x equation:


D( x )

x = 0

x = 0

x = 0

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

10/x-((6/4)*x) = 0

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

10*x^-1-3/2*x^1 = 0

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

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

x^1

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

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

DELTA = 0^2-(4*10*(-3/2))

DELTA = 60

DELTA > 0

x = (60^(1/2)+0)/(2*(-3/2)) or x = (0-60^(1/2))/(2*(-3/2))

x = (2*15^(1/2))/(-3) or x = (-2*15^(1/2))/(-3)

x in { (2*15^(1/2))/(-3), (-2*15^(1/2))/(-3)}

x in { (2*15^(1/2))/(-3), (-2*15^(1/2))/(-3) }

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