What are the solutions to the equation x^5=9x^3 ?

The solutions to the equation x^5=9x^3 are x=0,x=-3,x=3

Find the zeros of x^5=9x^3

The zeros of x^5=9x^3 are x=0,x=-3,x=3

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x^{5} = 9 x^{3}

x = 0, x = - 3, x = 3

Solution steps

x^{5} = 9 x^{3}

Move

9 x^{3}

to the left side

x^{5} - 9 x^{3} = 0

Factor

x^{5} - 9 x^{3} : x^{3} (x + 3) (x - 3)

x^{3} (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 3, x = 3

(y - 2)^{4} = 0

- x^{3} + x^{2} + 4 x + 6 = 0

r, x = \frac{4}{3} π r^{3}

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

(x + 1) (x - 2) (x + 3) = 0

What are the solutions to the equation x^5=9x^3 ?
The solutions to the equation x^5=9x^3 are x=0,x=-3,x=3
Find the zeros of x^5=9x^3
The zeros of x^5=9x^3 are x=0,x=-3,x=3