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

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

Find the zeros of 3t-t^3=0

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

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3 t - t^{3} = 0

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

Decimal Notation

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

Solution steps

3 t - t^{3} = 0

Factor

3 t - t^{3} : - t (t + 3) (t - 3)

- t (t + 3) (t - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t + 3 = 0 or t - 3 = 0

Solve

t + 3 = 0 : t = - 3

Solve

t - 3 = 0 : t = 3

The solutions are

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

4 x^{3} = 8 x

4 x^{3} = 80

x^{3} + 8 = (x + 2)

x^{3} - x^{2} + x = - 5

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

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