What are the solutions to the equation x^3+6x^2-9x-54=0 ?

The solutions to the equation x^3+6x^2-9x-54=0 are x=-6,x=-3,x=3

Find the zeros of x^3+6x^2-9x-54=0

The zeros of x^3+6x^2-9x-54=0 are x=-6,x=-3,x=3

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x^{3} + 6 x^{2} - 9 x - 54 = 0

x = - 6, x = - 3, x = 3

Solution steps

x^{3} + 6 x^{2} - 9 x - 54 = 0

Factor

x^{3} + 6 x^{2} - 9 x - 54 : (x + 6) (x + 3) (x - 3)

(x + 6) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 6 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 6 = 0 : x = - 6

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = - 6, x = - 3, x = 3

1 + x^{8}

(x^{2} - x + 1) (x^{2} - x - 2) = 378

x^{3} + 81 = 0

r^{3} - 7 r - 6 = 0

x^{4} - 12 x^{2} + 2 x = 0

What are the solutions to the equation x^3+6x^2-9x-54=0 ?
The solutions to the equation x^3+6x^2-9x-54=0 are x=-6,x=-3,x=3
Find the zeros of x^3+6x^2-9x-54=0
The zeros of x^3+6x^2-9x-54=0 are x=-6,x=-3,x=3