What are the solutions to the equation 4t^3-8t=0 ?

The solutions to the equation 4t^3-8t=0 are t=0,t=-sqrt(2),t=sqrt(2)

Find the zeros of 4t^3-8t=0

The zeros of 4t^3-8t=0 are t=0,t=-sqrt(2),t=sqrt(2)

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4 t^{3} - 8 t = 0

t = 0, t = - 2, t = 2

Decimal Notation

t = 0, t = - 1.41421 \dots, t = 1.41421 \dots

Solution steps

4 t^{3} - 8 t = 0

Factor

4 t^{3} - 8 t : 4 t (t + 2) (t - 2)

4 t (t + 2) (t - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t + 2 = 0 or t - 2 = 0

Solve

t + 2 = 0 : t = - 2

Solve

t - 2 = 0 : t = 2

The solutions are

t = 0, t = - 2, t = 2

(x - 7) (x + 5) (2 x - 3) = 0

15 t^{3} - 15 t^{2} + 20 t = 5 t

x, x^{3} + y^{3} = 16

x^{3} = \frac{27}{125}

(x - 3)^{3} = 8

What are the solutions to the equation 4t^3-8t=0 ?
The solutions to the equation 4t^3-8t=0 are t=0,t=-sqrt(2),t=sqrt(2)
Find the zeros of 4t^3-8t=0
The zeros of 4t^3-8t=0 are t=0,t=-sqrt(2),t=sqrt(2)