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

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

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

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

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

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

Decimal Notation

x = - 3, x = - 1.73205 \dots, x = 1.73205 \dots

Solution steps

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

Factor

x^{3} + 3 x^{2} - 3 x - 9 : (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 + 3 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

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

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

x^{2} (x + 1) - 64 (x + 1) = 0

x^{3} + 6 x^{2} = 16 x

x^{3} = 100

x^{3} = \frac{8}{27}

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