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

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

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

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

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

x = 6, x = - 1, x = 1

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x + 1 = 0 or x - 1 = 0

Solve

x - 6 = 0 : x = 6

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 6, x = - 1, x = 1

x^{4} - 25 = 0

9 x^{5} = 81 x^{3}

x^{4} + 3 x^{2} - 10 = 0

x^{3} = i

x^{3} + 3 x^{2} - 6 x - 8 = 0

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