What are the solutions to the equation x^3-6x^2-36x+216=0 ?

The solutions to the equation x^3-6x^2-36x+216=0 are x=6,x=-6

Find the zeros of x^3-6x^2-36x+216=0

The zeros of x^3-6x^2-36x+216=0 are x=6,x=-6

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x^{3} - 6 x^{2} - 36 x + 216 = 0

x = 6, x = - 6

Solution steps

x^{3} - 6 x^{2} - 36 x + 216 = 0

Factor

x^{3} - 6 x^{2} - 36 x + 216 : (x - 6)^{2} (x + 6)

(x - 6)^{2} (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x + 6 = 0

Solve

x - 6 = 0 : x = 6

Solve

x + 6 = 0 : x = - 6

The solutions are

x = 6, x = - 6

n^{3} - n = 8 n^{2} - 8

x^{3} - 5 x^{2} + x + 15 = 0

4 x^{3} + 3 x^{2} - 40 x + 1 = 0

2 x^{4} + x^{3} - 24 x^{2} + 20 x + 16 = 0

2 x^{4} - 5 x^{2} - 3 = 0

What are the solutions to the equation x^3-6x^2-36x+216=0 ?
The solutions to the equation x^3-6x^2-36x+216=0 are x=6,x=-6
Find the zeros of x^3-6x^2-36x+216=0
The zeros of x^3-6x^2-36x+216=0 are x=6,x=-6