What are the solutions to the equation x^5=81x^3 ?

The solutions to the equation x^5=81x^3 are x=0,x=-9,x=9

Find the zeros of x^5=81x^3

The zeros of x^5=81x^3 are x=0,x=-9,x=9

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x^{5} = 81 x^{3}

x = 0, x = - 9, x = 9

Solution steps

x^{5} = 81 x^{3}

Move

81 x^{3}

to the left side

x^{5} - 81 x^{3} = 0

Factor

x^{5} - 81 x^{3} : x^{3} (x + 9) (x - 9)

x^{3} (x + 9) (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 9 = 0 or x - 9 = 0

Solve

x + 9 = 0 : x = - 9

Solve

x - 9 = 0 : x = 9

The solutions are

x = 0, x = - 9, x = 9

z^{6} = 64

x, x^{3} - y = 0

z^{7} = 1

(6 x^{2} + 11 x + 4) (2 x - 3 b) = 0

2 x^{4} - 5 x^{3} + 5 x - 2 = 0

What are the solutions to the equation x^5=81x^3 ?
The solutions to the equation x^5=81x^3 are x=0,x=-9,x=9
Find the zeros of x^5=81x^3
The zeros of x^5=81x^3 are x=0,x=-9,x=9