What are the solutions to the equation 4x^3=8x ?

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

Find the zeros of 4x^3=8x

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

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4 x^{3} = 8 x

x = 0, x = - 2, x = 2

Decimal Notation

x = 0, x = - 1.41421 \dots, x = 1.41421 \dots

Solution steps

4 x^{3} = 8 x

Move

8 x

to the left side

4 x^{3} - 8 x = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 2 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = - 2, x = 2

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

- x^{3} + 446.8 x^{2} + 551 x + 257.6 = 0

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