6x=96/x

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Solution for 6x=96/x equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x = 96/x // - 96/x

6*x-(96/x) = 0

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

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

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

x^1*(6*x^2-96*x^0) = 0

x^1

6*x^2-96 = 0

6*x^2-96 = 0

DELTA = 0^2-(-96*4*6)

DELTA = 2304

DELTA > 0

x = (2304^(1/2)+0)/(2*6) or x = (0-2304^(1/2))/(2*6)

x = 4 or x = -4

x in { -4, 4} 

x in { -4, 4 }

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