What are the solutions to the equation 4x^3-10x=0 ?

The solutions to the equation 4x^3-10x=0 are x=0,x=-sqrt(5/2),x=sqrt(5/2)

Find the zeros of 4x^3-10x=0

The zeros of 4x^3-10x=0 are x=0,x=-sqrt(5/2),x=sqrt(5/2)

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4 x^{3} - 10 x = 0

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

Solution steps

4 x^{3} - 10 x = 0

Factor

4 x^{3} - 10 x : 2 x (2 x + 5) (2 x - 5)

2 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}

3 x^{3} - 8 x^{2} + 3 x + 2 = 0

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

x^{11} = 2

λ^{3} - 6 λ^{2} + 11 λ - 6 = 0

x^{3} - 5 x - 10 = 0

What are the solutions to the equation 4x^3-10x=0 ?
The solutions to the equation 4x^3-10x=0 are x=0,x=-sqrt(5/2),x=sqrt(5/2)
Find the zeros of 4x^3-10x=0
The zeros of 4x^3-10x=0 are x=0,x=-sqrt(5/2),x=sqrt(5/2)