2/t+4/3t=4/t+2

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


D( t )

t = 0

t = 0

t = 0

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

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

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

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

4/3*t^1-2*t^-1-2*t^0 = 0

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

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

t^1

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

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

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

DELTA = 44/3

DELTA > 0

t = ((44/3)^(1/2)+2)/(2*(4/3)) or t = (2-(44/3)^(1/2))/(2*(4/3))

t = 3/8*((44/3)^(1/2)+2) or t = 3/8*(2-(44/3)^(1/2))

t in { 3/8*(2-(44/3)^(1/2)), 3/8*((44/3)^(1/2)+2)} 

t in { 3/8*(2-(44/3)^(1/2)), 3/8*((44/3)^(1/2)+2) }

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