What are the solutions to the equation (t^3)/3-t=0 ?

The solutions to the equation (t^3)/3-t=0 are t=0,t=-sqrt(3),t=sqrt(3)

Find the zeros of (t^3)/3-t=0

The zeros of (t^3)/3-t=0 are t=0,t=-sqrt(3),t=sqrt(3)

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\frac{t ^{3}}{3} - t = 0

t = 0, t = - 3, t = 3

Decimal Notation

t = 0, t = - 1.73205 \dots, t = 1.73205 \dots

Solution steps

\frac{t ^{3}}{3} - t = 0

Factor

\frac{t ^{3}}{3} - t : t (\frac{1}{3} t + 1) (\frac{1}{3} t - 1)

t (\frac{1}{3} t + 1) (\frac{1}{3} t - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or \frac{1}{3} t + 1 = 0 or \frac{1}{3} t - 1 = 0

Solve

\frac{1}{3} t + 1 = 0 : t = - 3

Solve

\frac{1}{3} t - 1 = 0 : t = 3

The solutions are

t = 0, t = - 3, t = 3

2 (x + 1)^{2} (x - 3) = 0

\frac{( x - 3 ) ^{3}}{3} = 81

x^{8} - 17 x^{4} + 16 = 0

x^{4} - 5 x^{3} + 7 x^{2} - 5 x + 6 = 0

72 x^{7} - 504 x^{6} = 0

What are the solutions to the equation (t^3)/3-t=0 ?
The solutions to the equation (t^3)/3-t=0 are t=0,t=-sqrt(3),t=sqrt(3)
Find the zeros of (t^3)/3-t=0
The zeros of (t^3)/3-t=0 are t=0,t=-sqrt(3),t=sqrt(3)