What are the solutions to the equation x^3-4x^2-11x-6=0 ?

The solutions to the equation x^3-4x^2-11x-6=0 are x=-1,x=6

Find the zeros of x^3-4x^2-11x-6=0

The zeros of x^3-4x^2-11x-6=0 are x=-1,x=6

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x^{3} - 4 x^{2} - 11 x - 6 = 0

x = - 1, x = 6

Solution steps

x^{3} - 4 x^{2} - 11 x - 6 = 0

Factor

x^{3} - 4 x^{2} - 11 x - 6 : (x + 1)^{2} (x - 6)

(x + 1)^{2} (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 6 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 6 = 0 : x = 6

The solutions are

x = - 1, x = 6

x^{3} - 3 x + 5

y, 4 y - 4 x^{3} = 0

2 x^{3} - 18 x^{2} - 44 x = 0

4 x^{5} + 4 x^{3} = 0

r^{4} + 2 r^{3} + 2 r^{2} = 0

What are the solutions to the equation x^3-4x^2-11x-6=0 ?
The solutions to the equation x^3-4x^2-11x-6=0 are x=-1,x=6
Find the zeros of x^3-4x^2-11x-6=0
The zeros of x^3-4x^2-11x-6=0 are x=-1,x=6