What are the solutions to the equation -x^3+6x^2-11x+6=0 ?

The solutions to the equation -x^3+6x^2-11x+6=0 are x=1,x=2,x=3

Find the zeros of -x^3+6x^2-11x+6=0

The zeros of -x^3+6x^2-11x+6=0 are x=1,x=2,x=3

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

x = 1, x = 2, x = 3

Solution steps

- 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

z^{4} - 6 z^{3} + 11 z^{2} - 46 z + 170 = 0

x^{4} - 5 x^{2} - 36 = 0

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

x^{6} - 16 x^{4} = 0

x^{4} - 13 x^{2} + 40 = 0

What are the solutions to the equation -x^3+6x^2-11x+6=0 ?
The solutions to the equation -x^3+6x^2-11x+6=0 are x=1,x=2,x=3
Find the zeros of -x^3+6x^2-11x+6=0
The zeros of -x^3+6x^2-11x+6=0 are x=1,x=2,x=3