1-2/t-35/t^2=0

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Solution for 1-2/t-35/t^2=0 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)

1-(2/t)-(35/(t^2)) = 0

1-2*t^-1-35*t^-2 = 0

t_1 = t^-1

1-35*t_1^2-2*t_1^1 = 0

1-35*t_1^2-2*t_1 = 0

DELTA = (-2)^2-(-35*1*4)

DELTA = 144

DELTA > 0

t_1 = (144^(1/2)+2)/(-35*2) or t_1 = (2-144^(1/2))/(-35*2)

t_1 = -1/5 or t_1 = 1/7

t_1 = -1/5

t^-1+1/5 = 0

1*t^-1 = -1/5 // : 1

t^-1 = -1/5

-1 < 0

1/(t^1) = -1/5 // * t^1

1 = -1/5*t^1 // : -1/5

-5 = t^1

t = -5

t_1 = 1/7

t^-1-1/7 = 0

1*t^-1 = 1/7 // : 1

t^-1 = 1/7

-1 < 0

1/(t^1) = 1/7 // * t^1

1 = 1/7*t^1 // : 1/7

7 = t^1

t = 7

t in { -5, 7 }

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