What are the solutions to the equation x^3-2x^2-12x=0 ?

The solutions to the equation x^3-2x^2-12x=0 are x=0,x=1+sqrt(13),x=1-sqrt(13)

Find the zeros of x^3-2x^2-12x=0

The zeros of x^3-2x^2-12x=0 are x=0,x=1+sqrt(13),x=1-sqrt(13)

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x^{3} - 2 x^{2} - 12 x = 0

x = 0, x = 1 + 13, x = 1 - 13

Decimal Notation

x = 0, x = 4.60555 \dots, x = - 2.60555 \dots

Solution steps

x^{3} - 2 x^{2} - 12 x = 0

Factor

x^{3} - 2 x^{2} - 12 x : x (x^{2} - 2 x - 12)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 2 x - 12 = 0

Solve

x^{2} - 2 x - 12 = 0 : x = 1 + 13, x = 1 - 13

The solutions are

x = 0, x = 1 + 13, x = 1 - 13

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

6 w^{3} - 13 w^{2} + 6 w = 0

6 x^{(3)} + 9 x^{(2)} + 4 x + 6 = 0

405 = 5 x^{3}

x^{3} + 5 x^{2} + 16 x + 80 = 0

What are the solutions to the equation x^3-2x^2-12x=0 ?
The solutions to the equation x^3-2x^2-12x=0 are x=0,x=1+sqrt(13),x=1-sqrt(13)
Find the zeros of x^3-2x^2-12x=0
The zeros of x^3-2x^2-12x=0 are x=0,x=1+sqrt(13),x=1-sqrt(13)