What are the solutions to the equation x^4-6x^3+33x^2+6x-34=0 ?

The solutions to the equation x^4-6x^3+33x^2+6x-34=0 are x=-1,x=1,x=3+5i,x=3-5i

Find the zeros of x^4-6x^3+33x^2+6x-34=0

The zeros of x^4-6x^3+33x^2+6x-34=0 are x=-1,x=1,x=3+5i,x=3-5i

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x^{4} - 6 x^{3} + 33 x^{2} + 6 x - 34 = 0

x = - 1, x = 1, x = 3 + 5 i, x = 3 - 5 i

Solution steps

x^{4} - 6 x^{3} + 33 x^{2} + 6 x - 34 = 0

Factor

x^{4} - 6 x^{3} + 33 x^{2} + 6 x - 34 : (x + 1) (x - 1) (x^{2} - 6 x + 34)

(x + 1) (x - 1) (x^{2} - 6 x + 34) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 1 = 0 or x^{2} - 6 x + 34 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x^{2} - 6 x + 34 = 0 : x = 3 + 5 i, x = 3 - 5 i

The solutions are

x = - 1, x = 1, x = 3 + 5 i, x = 3 - 5 i

z^{3} = \frac{125}{216}

4 x^{3} - 12 x^{2} - 16 x = 0

x^{5} + x + 1 = 1029

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

x^{3} + 2 x^{2} + 5 x + 10 = 0

What are the solutions to the equation x^4-6x^3+33x^2+6x-34=0 ?
The solutions to the equation x^4-6x^3+33x^2+6x-34=0 are x=-1,x=1,x=3+5i,x=3-5i
Find the zeros of x^4-6x^3+33x^2+6x-34=0
The zeros of x^4-6x^3+33x^2+6x-34=0 are x=-1,x=1,x=3+5i,x=3-5i