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

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

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

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

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

x = 9, x = i, x = - i

Solution steps

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

Factor

x^{3} - 9 x^{2} + x - 9 : (x - 9) (x^{2} + 1)

(x - 9) (x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 9 = 0 or x^{2} + 1 = 0

Solve

x - 9 = 0 : x = 9

Solve

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

The solutions are

x = 9, x = i, x = - i

- x^{3} + 12 x = 0

81 x^{4} - 100 x^{2} = 0

y, x^{4} + y^{3} = 24

2 x^{4} + 4 x^{3} - 18 x^{2} - 36 x = 0

8 x^{3} + 50 x^{2} - 41 x + 7 = 0

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