What are the solutions to the equation x^5=18x^3-81x ?

The solutions to the equation x^5=18x^3-81x are x=0,x=-3,x=3

Find the zeros of x^5=18x^3-81x

The zeros of x^5=18x^3-81x are x=0,x=-3,x=3

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x^{5} = 18 x^{3} - 81 x

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

Solution steps

x^{5} = 18 x^{3} - 81 x

Move

81 x

to the left side

x^{5} + 81 x = 18 x^{3}

Move

18 x^{3}

to the left side

x^{5} + 81 x - 18 x^{3} = 0

Factor

x^{5} + 81 x - 18 x^{3} : x (x + 3)^{2} (x - 3)^{2}

x (x + 3)^{2} (x - 3)^{2} = 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

m^{5} + 5 m^{4} - 2 m^{3} - 10 m^{2} + m + 5 = 0

(x - 1)^{4} - (x - 1)^{2} - 12 = 0

x, (x^{2} + y^{2})^{3} = y^{4}

x (x - 3) (x - 2) = 72

x^{3} + x^{2} + x + 1

What are the solutions to the equation x^5=18x^3-81x ?
The solutions to the equation x^5=18x^3-81x are x=0,x=-3,x=3
Find the zeros of x^5=18x^3-81x
The zeros of x^5=18x^3-81x are x=0,x=-3,x=3