24t-4t^2/t^3-11+35

Solution for 24t-4t^2/t^3-11+35 equation:

D( t )

t^3 = 0

t^3 = 0

t^3 = 0

1*t^3 = 0 // : 1

t^3 = 0

t = 0

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

24*t-((4*t^2)/(t^3))-11+35 = 0

24*t-4*t^-1-11+35 = 0

24*t^1-4*t^-1+24*t^0 = 0

(24*t^2+24*t^1-4*t^0)/(t^1) = 0 // * t^2

t^1*(24*t^2+24*t^1-4*t^0) = 0

t^1

24*t^2+24*t-4 = 0

24*t^2+24*t-4 = 0

DELTA = 24^2-(-4*4*24)

DELTA = 960

DELTA > 0

t = (960^(1/2)-24)/(2*24) or t = (-960^(1/2)-24)/(2*24)

t = (8*15^(1/2)-24)/48 or t = (-8*15^(1/2)-24)/48

t in { (-8*15^(1/2)-24)/48, (8*15^(1/2)-24)/48} 

t in { (-8*15^(1/2)-24)/48, (8*15^(1/2)-24)/48 }