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

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

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

The zeros of 0=5x-x^3 are x=0,x=-sqrt(5),x=sqrt(5)

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0 = 5 x - x^{3}

x = 0, x = - 5, x = 5

Decimal Notation

x = 0, x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

0 = 5 x - x^{3}

Switch sides

5 x - x^{3} = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = - 5, x = 5

x^{3} + x^{2} - 333 x - 1002 = 0

x^{4} - x^{3} - 11 x^{2} + 9 x + 18 = 0

16 x^{3} + 9 x^{2} - 4 x - 1 = 0

x^{3} - 9 x^{2} + 25 x - 17 = 0

x^{3} - 21 x + 20 = 0

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