What are the solutions to the equation x^3+9x^2-81x-729=0 ?

The solutions to the equation x^3+9x^2-81x-729=0 are x=-9,x=9

Find the zeros of x^3+9x^2-81x-729=0

The zeros of x^3+9x^2-81x-729=0 are x=-9,x=9

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x^{3} + 9 x^{2} - 81 x - 729 = 0

x = - 9, x = 9

Solution steps

x^{3} + 9 x^{2} - 81 x - 729 = 0

Factor

x^{3} + 9 x^{2} - 81 x - 729 : (x + 9)^{2} (x - 9)

(x + 9)^{2} (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 9 = 0 or x - 9 = 0

Solve

x + 9 = 0 : x = - 9

Solve

x - 9 = 0 : x = 9

The solutions are

x = - 9, x = 9

x^{3} - x^{2} - x = - 1

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

x^{6} - 6 x^{3} + 8 = 0

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

x^{3} - 2 x^{2} + 25 x - 50 = 0

What are the solutions to the equation x^3+9x^2-81x-729=0 ?
The solutions to the equation x^3+9x^2-81x-729=0 are x=-9,x=9
Find the zeros of x^3+9x^2-81x-729=0
The zeros of x^3+9x^2-81x-729=0 are x=-9,x=9