2t-3/t+2

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Solution for 2t-3/t+2 equation: 


D( t )

t = 0

t = 0

t = 0

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

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

2*t-3*t^-1+2 = 0

2*t^1-3*t^-1+2*t^0 = 0

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

t^1*(2*t^2+2*t^1-3*t^0) = 0

t^1

2*t^2+2*t-3 = 0

2*t^2+2*t-3 = 0

DELTA = 2^2-(-3*2*4)

DELTA = 28

DELTA > 0

t = (28^(1/2)-2)/(2*2) or t = (-28^(1/2)-2)/(2*2)

t = (2*7^(1/2)-2)/4 or t = (-2*7^(1/2)-2)/4

t in { (-2*7^(1/2)-2)/4, (2*7^(1/2)-2)/4} 

t in { (-2*7^(1/2)-2)/4, (2*7^(1/2)-2)/4 }

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