What are the solutions to the equation 27x^3-9^2*x=0 ?

The solutions to the equation 27x^3-9^2*x=0 are x=0,x=-sqrt(3),x=sqrt(3)

Find the zeros of 27x^3-9^2*x=0

The zeros of 27x^3-9^2*x=0 are x=0,x=-sqrt(3),x=sqrt(3)

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27 x^{3} - 9^{2} \cdot x = 0

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

Decimal Notation

x = 0, x = - 1.73205 \dots, x = 1.73205 \dots

Solution steps

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

Factor

27 x^{3} - 9^{2} x : 27 x (x + 3) (x - 3)

27 x (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

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

x^{4} + 64 - 16 x^{2} = 0

40 = 2 x \cdot x^{5}

4 x^{3} + 9 x^{2} + 22 x + 5 = 0

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

What are the solutions to the equation 27x^3-9^2*x=0 ?
The solutions to the equation 27x^3-9^2*x=0 are x=0,x=-sqrt(3),x=sqrt(3)
Find the zeros of 27x^3-9^2*x=0
The zeros of 27x^3-9^2*x=0 are x=0,x=-sqrt(3),x=sqrt(3)