2/t=5t-12/t

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Solution for 2/t=5t-12/t equation: 


D( t )

t = 0

t = 0

t = 0

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

2/t = 5*t-(12/t) // - 5*t-(12/t)

2/t-(5*t)+12/t = 0

2/t-5*t+12/t = 0

14*t^-1-5*t^1 = 0

(14*t^0-5*t^2)/(t^1) = 0 // * t^2

t^1*(14*t^0-5*t^2) = 0

t^1

14-5*t^2 = 0

14-5*t^2 = 0

DELTA = 0^2-(-5*4*14)

DELTA = 280

DELTA > 0

t = (280^(1/2)+0)/(-5*2) or t = (0-280^(1/2))/(-5*2)

t = (-70^(1/2))/5 or t = (1*70^(1/2))/5

t in { (-70^(1/2))/5, (1*70^(1/2))/5} 

t in { (-70^(1/2))/5, (1*70^(1/2))/5 }

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