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

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

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

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

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

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

Decimal Notation

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

Solution steps

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

Factor

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

x^{3} (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

12 x^{5} - 108 x^{3} = 0

e = 1.6 \times 10 e^{12}

x, 0 = x^{4} - 12 x^{3} - 42 x^{2} + 11

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

x^{5} + x^{3} + x + 1 = 0

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