What are the solutions to the equation roots x^4-6x^3+2x^2+26x+17 ?

The solutions to the equation roots x^4-6x^3+2x^2+26x+17 are x=-1,x=4+i,x=4-i

Find the zeros of roots x^4-6x^3+2x^2+26x+17

The zeros of roots x^4-6x^3+2x^2+26x+17 are x=-1,x=4+i,x=4-i

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roots

x^{4} - 6 x^{3} + 2 x^{2} + 26 x + 17

x = - 1, x = 4 + i, x = 4 - i

Solution steps

x^{4} - 6 x^{3} + 2 x^{2} + 26 x + 17

The roots are the intercepts with the x-axis

(y = 0)

x^{4} - 6 x^{3} + 2 x^{2} + 26 x + 17 = 0

Factor

x^{4} - 6 x^{3} + 2 x^{2} + 26 x + 17 : (x + 1)^{2} (x^{2} - 8 x + 17)

(x + 1)^{2} (x^{2} - 8 x + 17) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} - 8 x + 17 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} - 8 x + 17 = 0 : x = 4 + i, x = 4 - i

The solutions are

x = - 1, x = 4 + i, x = 4 - i

9 x^{3} + 9 x^{2} - x - 1 = 0

4 x^{3} - 2 x^{2} - 14 x - 48

x^{5} - 6 x^{4} + 10 x^{3} - 6 x^{2} + 9 x = 0

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

4 x^{3} - 6 x^{2} - 1 = 0

What are the solutions to the equation roots x^4-6x^3+2x^2+26x+17 ?
The solutions to the equation roots x^4-6x^3+2x^2+26x+17 are x=-1,x=4+i,x=4-i
Find the zeros of roots x^4-6x^3+2x^2+26x+17
The zeros of roots x^4-6x^3+2x^2+26x+17 are x=-1,x=4+i,x=4-i