What are the solutions to the equation x^3-2x^2+x+18=0 ?

The solutions to the equation x^3-2x^2+x+18=0 are x=-2,x=2+sqrt(5)i,x=2-sqrt(5)i

Find the zeros of x^3-2x^2+x+18=0

The zeros of x^3-2x^2+x+18=0 are x=-2,x=2+sqrt(5)i,x=2-sqrt(5)i

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

x = - 2, x = 2 + 5 i, x = 2 - 5 i

Solution steps

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

Factor

x^{3} - 2 x^{2} + x + 18 : (x + 2) (x^{2} - 4 x + 9)

(x + 2) (x^{2} - 4 x + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x^{2} - 4 x + 9 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x^{2} - 4 x + 9 = 0 : x = 2 + 5 i, x = 2 - 5 i

The solutions are

x = - 2, x = 2 + 5 i, x = 2 - 5 i

x^{3} + 3 x^{2} - 25 x + 21

x^{4} = 80

12 x^{3} - 36 x^{2} = 0

4 x^{3} - 69 x^{2} + 378 x - 637 = 0

x^{4} - 3 x^{3} - 64 = 0

What are the solutions to the equation x^3-2x^2+x+18=0 ?
The solutions to the equation x^3-2x^2+x+18=0 are x=-2,x=2+sqrt(5)i,x=2-sqrt(5)i
Find the zeros of x^3-2x^2+x+18=0
The zeros of x^3-2x^2+x+18=0 are x=-2,x=2+sqrt(5)i,x=2-sqrt(5)i