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

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

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

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

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roots

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

x = - 1, x = 5, x = 1

Solution steps

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

Factor

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

(x + 1)^{2} (x - 5) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 5 = 0 or x - 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 5 = 0 : x = 5

Solve

x - 1 = 0 : x = 1

The solutions are

x = - 1, x = 5, x = 1

3 x^{4} + 17 x^{2} - 6 = 0

3 x^{3} - 10 x^{2} - 9 x + 4 = 0

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

2 x^{3} + 3 x^{2} - 7 x - 4 = 0

x^{8} = - 3

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