What are the solutions to the equation 30x-60x^3=0 ?

The solutions to the equation 30x-60x^3=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))

Find the zeros of 30x-60x^3=0

The zeros of 30x-60x^3=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))

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30 x - 60 x^{3} = 0

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

Decimal Notation

x = 0, x = - 0.70710 \dots, x = 0.70710 \dots

Solution steps

30 x - 60 x^{3} = 0

Factor

30 x - 60 x^{3} : - 30 x (2 x + 1) (2 x - 1)

- 30 x (2 x + 1) (2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

2 x - 1 = 0 : x = \frac{1}{2}

The solutions are

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

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

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

x^{4} + 17 x^{3} + 60 x^{2} - 59 x + 77 = 0

y, x^{4} + y^{4} = 82

3 x^{4} + 22 x^{3} + 61 x^{2} + 76 x + 26 = 0

What are the solutions to the equation 30x-60x^3=0 ?
The solutions to the equation 30x-60x^3=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))
Find the zeros of 30x-60x^3=0
The zeros of 30x-60x^3=0 are x=0,x=-1/(sqrt(2)),x= 1/(sqrt(2))