What are the solutions to the equation 25t-t^3=0 ?

The solutions to the equation 25t-t^3=0 are t=0,t=-5,t=5

Find the zeros of 25t-t^3=0

The zeros of 25t-t^3=0 are t=0,t=-5,t=5

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25 t - t^{3} = 0

t = 0, t = - 5, t = 5

Solution steps

25 t - t^{3} = 0

Factor

25 t - t^{3} : - t (t + 5) (t - 5)

- t (t + 5) (t - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t + 5 = 0 or t - 5 = 0

Solve

t + 5 = 0 : t = - 5

Solve

t - 5 = 0 : t = 5

The solutions are

t = 0, t = - 5, t = 5

x^{8} + x^{5} + 1 = 0

x^{5} = 9 x

5 x^{4} = 135 x

6 n^{4} + 9 n^{3} + 3 n^{2} = 0

x^{5} = 16

What are the solutions to the equation 25t-t^3=0 ?
The solutions to the equation 25t-t^3=0 are t=0,t=-5,t=5
Find the zeros of 25t-t^3=0
The zeros of 25t-t^3=0 are t=0,t=-5,t=5