What are the solutions to the equation 5x^3-125x^5=0 ?

The solutions to the equation 5x^3-125x^5=0 are x=0,x=-1/5 ,x= 1/5

Find the zeros of 5x^3-125x^5=0

The zeros of 5x^3-125x^5=0 are x=0,x=-1/5 ,x= 1/5

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5 x^{3} - 125 x^{5} = 0

x = 0, x = - \frac{1}{5}, x = \frac{1}{5}

Decimal Notation

x = 0, x = - 0.2, x = 0.2

Solution steps

5 x^{3} - 125 x^{5} = 0

Factor

5 x^{3} - 125 x^{5} : - 5 x^{3} (5 x + 1) (5 x - 1)

- 5 x^{3} (5 x + 1) (5 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x + 1 = 0 or 5 x - 1 = 0

Solve

5 x + 1 = 0 : x = - \frac{1}{5}

Solve

5 x - 1 = 0 : x = \frac{1}{5}

The solutions are

x = 0, x = - \frac{1}{5}, x = \frac{1}{5}

(x^{2} + x)^{2} = 5 x^{2} + 5 x - 6

lo g_{2} (256) = \frac{x ^{3}}{8}

4 x^{4} - 10 x^{3} - 1 x^{2} = 0

3 x^{4} - 8 x^{3} - 16 x^{2} + 24 x + 32 = 0

6 x^{3} - 7 x^{2} - 6 x = - 7

What are the solutions to the equation 5x^3-125x^5=0 ?
The solutions to the equation 5x^3-125x^5=0 are x=0,x=-1/5 ,x= 1/5
Find the zeros of 5x^3-125x^5=0
The zeros of 5x^3-125x^5=0 are x=0,x=-1/5 ,x= 1/5