What are the solutions to the equation x^4-6x^3-11x^2+96x-80=0 ?

The solutions to the equation x^4-6x^3-11x^2+96x-80=0 are x=1,x=5,x=-4,x=4

Find the zeros of x^4-6x^3-11x^2+96x-80=0

The zeros of x^4-6x^3-11x^2+96x-80=0 are x=1,x=5,x=-4,x=4

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x^{4} - 6 x^{3} - 11 x^{2} + 96 x - 80 = 0

x = 1, x = 5, x = - 4, x = 4

Solution steps

x^{4} - 6 x^{3} - 11 x^{2} + 96 x - 80 = 0

Factor

x^{4} - 6 x^{3} - 11 x^{2} + 96 x - 80 : (x - 1) (x - 5) (x + 4) (x - 4)

(x - 1) (x - 5) (x + 4) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 5 = 0 or x + 4 = 0 or x - 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 5 = 0 : x = 5

Solve

x + 4 = 0 : x = - 4

Solve

x - 4 = 0 : x = 4

The solutions are

x = 1, x = 5, x = - 4, x = 4

x^{4} = 27

x^{4} = 36

x^{4} = 50

x^{4} = 54

x^{4} = 49

What are the solutions to the equation x^4-6x^3-11x^2+96x-80=0 ?
The solutions to the equation x^4-6x^3-11x^2+96x-80=0 are x=1,x=5,x=-4,x=4
Find the zeros of x^4-6x^3-11x^2+96x-80=0
The zeros of x^4-6x^3-11x^2+96x-80=0 are x=1,x=5,x=-4,x=4