What are the solutions to the equation 20x^3-90x=0 ?

The solutions to the equation 20x^3-90x=0 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))

Find the zeros of 20x^3-90x=0

The zeros of 20x^3-90x=0 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))

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20 x^{3} - 90 x = 0

x = 0, x = - \frac{3}{2}, x = \frac{3}{2}

Decimal Notation

x = 0, x = - 2.12132 \dots, x = 2.12132 \dots

Solution steps

20 x^{3} - 90 x = 0

Factor

20 x^{3} - 90 x : 10 x (2 x + 3) (2 x - 3)

10 x (2 x + 3) (2 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 3 = 0 or 2 x - 3 = 0

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

2 x - 3 = 0 : x = \frac{3}{2}

The solutions are

x = 0, x = - \frac{3}{2}, x = \frac{3}{2}

48.46 x^{3} - 12.6 x + 0.005 = 0

x, x^{5} + x^{3} + x = 3

2 x^{4} - 11 x^{2} + 12 = 0

2 x + x^{5} + x^{2} = 4

6500 = 6000 (1 + \frac{r}{4})^{24}

What are the solutions to the equation 20x^3-90x=0 ?
The solutions to the equation 20x^3-90x=0 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))
Find the zeros of 20x^3-90x=0
The zeros of 20x^3-90x=0 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))