What are the solutions to the equation x^4+5x^3+5x^2-5x-6=0 ?

The solutions to the equation x^4+5x^3+5x^2-5x-6=0 are x=-1,x=1,x=-2,x=-3

Find the zeros of x^4+5x^3+5x^2-5x-6=0

The zeros of x^4+5x^3+5x^2-5x-6=0 are x=-1,x=1,x=-2,x=-3

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x^{4} + 5 x^{3} + 5 x^{2} - 5 x - 6 = 0

x = - 1, x = 1, x = - 2, x = - 3

Solution steps

x^{4} + 5 x^{3} + 5 x^{2} - 5 x - 6 = 0

Factor

x^{4} + 5 x^{3} + 5 x^{2} - 5 x - 6 : (x + 1) (x - 1) (x + 2) (x + 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x + 3 = 0 : x = - 3

The solutions are

x = - 1, x = 1, x = - 2, x = - 3

x^{3} - 8 x^{2} + 22 x - 21 = 0

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

y, x^{4} + y^{4} = 0

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

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

What are the solutions to the equation x^4+5x^3+5x^2-5x-6=0 ?
The solutions to the equation x^4+5x^3+5x^2-5x-6=0 are x=-1,x=1,x=-2,x=-3
Find the zeros of x^4+5x^3+5x^2-5x-6=0
The zeros of x^4+5x^3+5x^2-5x-6=0 are x=-1,x=1,x=-2,x=-3