What are the solutions to the equation t^3-5t=0 ?

The solutions to the equation t^3-5t=0 are t=0,t=-sqrt(5),t=sqrt(5)

Find the zeros of t^3-5t=0

The zeros of t^3-5t=0 are t=0,t=-sqrt(5),t=sqrt(5)

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t^{3} - 5 t = 0

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

Decimal Notation

t = 0, t = - 2.23606 \dots, t = 2.23606 \dots

Solution steps

t^{3} - 5 t = 0

Factor

t^{3} - 5 t : 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

2 x^{3} - 12 x^{2} + 6 x - 4 = 0

u^{3} = 125

36 x^{4} + 16 = 52 x^{2}

a, y = a^{3}

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

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