4/t-9/t^2

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Solution for 4/t-9/t^2 equation:


D( t )

t^2 = 0

t = 0

t^2 = 0

t^2 = 0

1*t^2 = 0 // : 1

t^2 = 0

t = 0

t = 0

t = 0

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

4/t-(9/(t^2)) = 0

4/t-9*t^-2 = 0

4*t^-1-9*t^-2 = 0

t_1 = t^-1

4*t_1^1-9*t_1^2 = 0

4*t_1-9*t_1^2 = 0

DELTA = 4^2-(-9*0*4)

DELTA = 16

DELTA > 0

t_1 = (16^(1/2)-4)/(-9*2) or t_1 = (-16^(1/2)-4)/(-9*2)

t_1 = 0 or t_1 = 4/9

t_1 = 0

t^-1+0 = 0

t^-1 = 0

1*t^-1 = 0 // : 1

t^-1 = 0

t należy do O

t_1 = 4/9

t^-1-4/9 = 0

1*t^-1 = 4/9 // : 1

t^-1 = 4/9

-1 < 0

1/(t^1) = 4/9 // * t^1

1 = 4/9*t^1 // : 4/9

9/4 = t^1

t = 9/4

t = 9/4

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