What are the solutions to the equation 9t-t^3=0 ?

The solutions to the equation 9t-t^3=0 are t=0,t=-3,t=3

Find the zeros of 9t-t^3=0

The zeros of 9t-t^3=0 are t=0,t=-3,t=3

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9 t - t^{3} = 0

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

Solution steps

9 t - t^{3} = 0

Factor

9 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

0 = x^{3} - 3 x^{2} - 16 x + 48

x, x^{3} - y^{3} = 19

2 x^{3} - 4 x^{2} - 32 x + 64 = 0

y^{4} + 2 y^{2} + y = 0

(5 - 2 x) \cdot (x^{2} - 9) = 0

What are the solutions to the equation 9t-t^3=0 ?
The solutions to the equation 9t-t^3=0 are t=0,t=-3,t=3
Find the zeros of 9t-t^3=0
The zeros of 9t-t^3=0 are t=0,t=-3,t=3