85=(X-6/X)*100

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Solution for 85=(X-6/X)*100 equation: 


D( X )

X = 0

X = 0

X = 0

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

85 = 100*(X-(6/X)) // - 100*(X-(6/X))

85-(100*(X-(6/X))) = 0

85-100*(X-6*X^-1) = 0

85-100*(X-6*X^-1) = 0

600*X^-1-100*X+85 = 0

600*X^-1-100*X+85 = 0

5*(120*X^-1-20*X+17) = 0

120*X^-1-20*X^1+17*X^0 = 0

(17*X^1-20*X^2+120*X^0)/(X^1) = 0 // * X^2

X^1*(17*X^1-20*X^2+120*X^0) = 0

X^1

17*X-20*X^2+120 = 0

17*X-20*X^2+120 = 0

DELTA = 17^2-(-20*4*120)

DELTA = 9889

DELTA > 0

X = (9889^(1/2)-17)/(-20*2) or X = (-9889^(1/2)-17)/(-20*2)

X = (9889^(1/2)-17)/(-40) or X = (9889^(1/2)+17)/40

X in { (9889^(1/2)-17)/(-40), (9889^(1/2)+17)/40} 

5*(X-((9889^(1/2)-17)/(-40)))*(X-((9889^(1/2)+17)/40)) = 0

5*(X-((9889^(1/2)-17)/(-40)))*(X-((9889^(1/2)+17)/40)) = 0

( 5 )

5 = 0

X belongs to the empty set

( X-((9889^(1/2)+17)/40) )

X-((9889^(1/2)+17)/40) = 0 // + (9889^(1/2)+17)/40

X = (9889^(1/2)+17)/40

( X-((9889^(1/2)-17)/(-40)) )

X-((9889^(1/2)-17)/(-40)) = 0 // + (9889^(1/2)-17)/(-40)

X = (9889^(1/2)-17)/(-40)

X in { (9889^(1/2)+17)/40, (9889^(1/2)-17)/(-40) }

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