12/x=8x/5

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Solution for 12/x=8x/5 equation:


D( x )

x = 0

x = 0

x = 0

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

12/x = (8*x)/5 // - (8*x)/5

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

(-8/5)*x+12/x = 0

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

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

x^1*(12*x^0-8/5*x^2) = 0

x^1

(-8/5)*x^2+12 = 0

(-8/5)*x^2+12 = 0

DELTA = 0^2-(4*12*(-8/5))

DELTA = 384/5

DELTA > 0

x = ((384/5)^(1/2)+0)/(2*(-8/5)) or x = (0-(384/5)^(1/2))/(2*(-8/5))

x = -5/16*(384/5)^(1/2) or x = 5/16*(384/5)^(1/2)

x in { -5/16*(384/5)^(1/2), 5/16*(384/5)^(1/2)}

x in { -5/16*(384/5)^(1/2), 5/16*(384/5)^(1/2) }

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