8/x-3/5x

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Solution for 8/x-3/5x equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x-((3/5)*x) = 0

(-3/5)*x+8/x = 0

8*x^-1-3/5*x^1 = 0

(8*x^0-3/5*x^2)/(x^1) = 0 // * x^2

x^1*(8*x^0-3/5*x^2) = 0

x^1

(-3/5)*x^2+8 = 0

(-3/5)*x^2+8 = 0

DELTA = 0^2-(4*8*(-3/5))

DELTA = 96/5

DELTA > 0

x = ((96/5)^(1/2)+0)/(2*(-3/5)) or x = (0-(96/5)^(1/2))/(2*(-3/5))

x = -5/6*(96/5)^(1/2) or x = 5/6*(96/5)^(1/2)

x in { -5/6*(96/5)^(1/2), 5/6*(96/5)^(1/2)} 

x in { -5/6*(96/5)^(1/2), 5/6*(96/5)^(1/2) }

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