What are the solutions to the equation x^3-6x^2+11x=6 ?

The solutions to the equation x^3-6x^2+11x=6 are x=1,x=2,x=3

Find the zeros of x^3-6x^2+11x=6

The zeros of x^3-6x^2+11x=6 are x=1,x=2,x=3

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x^{3} - 6 x^{2} + 11 x = 6

x = 1, x = 2, x = 3

Solution steps

x^{3} - 6 x^{2} + 11 x = 6

Move

6

to the left side

x^{3} - 6 x^{2} + 11 x - 6 = 0

Factor

x^{3} - 6 x^{2} + 11 x - 6 : (x - 1) (x - 2) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 2 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x - 3 = 0 : x = 3

The solutions are

x = 1, x = 2, x = 3

(u^{2} - 5 u - 6) (5 u + 25) = 0

x^{6} - 2 x^{4} = 0

10 = 500 x^{3}

x^{6} + 3 x^{3} + 2 = 0

3 x^{3} - 5 x^{2} - 4 x - 24 = 0

What are the solutions to the equation x^3-6x^2+11x=6 ?
The solutions to the equation x^3-6x^2+11x=6 are x=1,x=2,x=3
Find the zeros of x^3-6x^2+11x=6
The zeros of x^3-6x^2+11x=6 are x=1,x=2,x=3