195/t=195/(t-1)-4

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Solution for 195/t=195/(t-1)-4 equation:


D( t )

t-1 = 0

t = 0

t-1 = 0

t-1 = 0

t-1 = 0 // + 1

t = 1

t = 0

t = 0

t in (-oo:0) U (0:1) U (1:+oo)

195/t = 195/(t-1)-4 // - 195/(t-1)-4

195/t-(195/(t-1))+4 = 0

195/t-195*(t-1)^-1+4 = 0

195/t-195/(t-1)+4 = 0

(-195*t)/(t*(t-1))+(195*(t-1))/(t*(t-1))+(4*t*(t-1))/(t*(t-1)) = 0

195*(t-1)+4*t*(t-1)-195*t = 0

4*t^2-4*t-195 = 0

4*t^2-4*t-195 = 0

4*t^2-4*t-195 = 0

DELTA = (-4)^2-(-195*4*4)

DELTA = 3136

DELTA > 0

t = (3136^(1/2)+4)/(2*4) or t = (4-3136^(1/2))/(2*4)

t = 15/2 or t = -13/2

(t+13/2)*(t-15/2) = 0

((t+13/2)*(t-15/2))/(t*(t-1)) = 0

((t+13/2)*(t-15/2))/(t*(t-1)) = 0 // * t*(t-1)

(t+13/2)*(t-15/2) = 0

( t+13/2 )

t+13/2 = 0 // - 13/2

t = -13/2

( t-15/2 )

t-15/2 = 0 // + 15/2

t = 15/2

t in { -13/2, 15/2 }

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