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

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

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

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

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x = 5 x - x^{3}

x = 0, x = - 2, x = 2

Solution steps

x = 5 x - x^{3}

Switch sides

5 x - x^{3} = x

Move

x

to the left side

- x^{3} + 4 x = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = - 2, x = 2

(x + 1) 4 - (x - 1) 4 = x^{2} (8 x + 1) + 15

x^{4} - 5 x^{2} 4 = 0

V = \frac{4}{3} π r^{3}, r

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

\frac{2 x ^{4} - 1}{8} = 0

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