4/t-1=3t/-2+2t

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Solution for 4/t-1=3t/-2+2t equation: 


D( t )

t = 0

t = 0

t = 0

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

4/t-1 = (3*t)/(-2)+2*t // - (3*t)/(-2)+2*t

4/t-((3*t)/(-2))-(2*t)-1 = 0

(3/2)*t-2*t+4/t-1 = 0

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

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

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

t^1

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

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

DELTA = (-1)^2-(4*4*(-1/2))

DELTA = 9

DELTA > 0

t = (9^(1/2)+1)/(2*(-1/2)) or t = (1-9^(1/2))/(2*(-1/2))

t = -4 or t = 2

t in { -4, 2} 

t in { -4, 2 }

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