6/3t-4=6/t

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Solution for 6/3t-4=6/t equation: 


D( t )

t = 0

t = 0

t = 0

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

(6/3)*t-4 = 6/t // - 6/t

(6/3)*t-(6/t)-4 = 0

(6/3)*t-6*t^-1-4 = 0

2*t^1-6*t^-1-4*t^0 = 0

(2*t^2-4*t^1-6*t^0)/(t^1) = 0 // * t^2

t^1*(2*t^2-4*t^1-6*t^0) = 0

t^1

2*t^2-4*t-6 = 0

2*t^2-4*t-6 = 0

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

DELTA = 64

DELTA > 0

t = (64^(1/2)+4)/(2*2) or t = (4-64^(1/2))/(2*2)

t = 3 or t = -1

t in { -1, 3} 

t in { -1, 3 }

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