What are the solutions to the equation x^3-10x^2+27x-18=0 ?

The solutions to the equation x^3-10x^2+27x-18=0 are x=1,x=3,x=6

Find the zeros of x^3-10x^2+27x-18=0

The zeros of x^3-10x^2+27x-18=0 are x=1,x=3,x=6

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x^{3} - 10 x^{2} + 27 x - 18 = 0

x = 1, x = 3, x = 6

Solution steps

x^{3} - 10 x^{2} + 27 x - 18 = 0

Factor

x^{3} - 10 x^{2} + 27 x - 18 : (x - 1) (x - 3) (x - 6)

(x - 1) (x - 3) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 3 = 0 or x - 6 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 3 = 0 : x = 3

Solve

x - 6 = 0 : x = 6

The solutions are

x = 1, x = 3, x = 6

x^{4} - 6 x^{3} + 13 x^{2} - 12 x = 0

(1 - x) (x + 2) 2 (x + 3) = 0

x^{3} + 5 x^{2} - 2 x = 0

- λ^{3} + 6 λ^{2} - 11 λ + 6 = 0

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

What are the solutions to the equation x^3-10x^2+27x-18=0 ?
The solutions to the equation x^3-10x^2+27x-18=0 are x=1,x=3,x=6
Find the zeros of x^3-10x^2+27x-18=0
The zeros of x^3-10x^2+27x-18=0 are x=1,x=3,x=6