What are the solutions to the equation 4x^3-25x=0 ?

The solutions to the equation 4x^3-25x=0 are x=0,x=-5/2 ,x= 5/2

Find the zeros of 4x^3-25x=0

The zeros of 4x^3-25x=0 are x=0,x=-5/2 ,x= 5/2

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4 x^{3} - 25 x = 0

x = 0, x = - \frac{5}{2}, x = \frac{5}{2}

Decimal Notation

x = 0, x = - 2.5, x = 2.5

Solution steps

4 x^{3} - 25 x = 0

Factor

4 x^{3} - 25 x : x (2 x + 5) (2 x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 5 = 0 or 2 x - 5 = 0

Solve

2 x + 5 = 0 : x = - \frac{5}{2}

Solve

2 x - 5 = 0 : x = \frac{5}{2}

The solutions are

x = 0, x = - \frac{5}{2}, x = \frac{5}{2}

0 = 18 x^{4} + 87 x^{3} + 3 x^{2} - 108 x

= x^{2} x^{46}

x^{4} = x

x - x^{3} = 0

2 z^{3} - 6 z^{2} - 7 z - 4 = 0

What are the solutions to the equation 4x^3-25x=0 ?
The solutions to the equation 4x^3-25x=0 are x=0,x=-5/2 ,x= 5/2
Find the zeros of 4x^3-25x=0
The zeros of 4x^3-25x=0 are x=0,x=-5/2 ,x= 5/2