5/x=96x

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Solution for 5/x=96x equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x = 96*x // - 96*x

5/x-(96*x) = 0

5/x-96*x = 0

5*x^-1-96*x^1 = 0

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

x^1*(5*x^0-96*x^2) = 0

x^1

5-96*x^2 = 0

5-96*x^2 = 0

DELTA = 0^2-(-96*4*5)

DELTA = 1920

DELTA > 0

x = (1920^(1/2)+0)/(-96*2) or x = (0-1920^(1/2))/(-96*2)

x = (-30^(1/2))/24 or x = (1*30^(1/2))/24

x in { (-30^(1/2))/24, (1*30^(1/2))/24} 

x in { (-30^(1/2))/24, (1*30^(1/2))/24 }

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