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

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

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

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

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

x = 9, x = - 9

Solution steps

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

Move

729

to the left side

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^{4} - 12 8^{\frac{13}{5}} = 0

2 x^{4} + 3 x^{2} + 8 = 0

x^{3} - 5 x^{2} - 30 x - 54 = 0

4 x^{3} + 3 x^{2} + 100 x + 75 = 0

4 x^{3} = x

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