What are the solutions to the equation roots x^3-2x^2+9x-18 ?

The solutions to the equation roots x^3-2x^2+9x-18 are x=2,x=3i,x=-3i

Find the zeros of roots x^3-2x^2+9x-18

The zeros of roots x^3-2x^2+9x-18 are x=2,x=3i,x=-3i

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roots

x^{3} - 2 x^{2} + 9 x - 18

x = 2, x = 3 i, x = - 3 i

Solution steps

x^{3} - 2 x^{2} + 9 x - 18

The roots are the intercepts with the x-axis

(y = 0)

x^{3} - 2 x^{2} + 9 x - 18 = 0

Factor

x^{3} - 2 x^{2} + 9 x - 18 : (x - 2) (x^{2} + 9)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

The solutions are

x = 2, x = 3 i, x = - 3 i

125 = 40 x \frac{1}{2} (10) x^{2}

x^{4} - 8 x^{3} + 26 x^{2} - 40 x + 25 = 0

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

- 3 z^{3} + 140 - 139 z + 38 z^{2} = 0

x^{3} - 4 x^{2} - x + 4

What are the solutions to the equation roots x^3-2x^2+9x-18 ?
The solutions to the equation roots x^3-2x^2+9x-18 are x=2,x=3i,x=-3i
Find the zeros of roots x^3-2x^2+9x-18
The zeros of roots x^3-2x^2+9x-18 are x=2,x=3i,x=-3i