What are the solutions to the equation r^5+2r^3+10r^2+r+10=0 ?

The solutions to the equation r^5+2r^3+10r^2+r+10=0 are r=-2

Find the zeros of r^5+2r^3+10r^2+r+10=0

The zeros of r^5+2r^3+10r^2+r+10=0 are r=-2

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

r = - 2

Solution steps

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

Factor

r^{5} + 2 r^{3} + 10 r^{2} + r + 10 : (r + 2) (r^{4} - 2 r^{3} + 6 r^{2} - 2 r + 5)

(r + 2) (r^{4} - 2 r^{3} + 6 r^{2} - 2 r + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

r + 2 = 0 : r = - 2

Solve

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

No Solution for

r \in R

The solution is

r = - 2

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

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

0.11 = (1 + \frac{r}{12})^{12} - 1

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

x (x^{2} - 9) = 0

What are the solutions to the equation r^5+2r^3+10r^2+r+10=0 ?
The solutions to the equation r^5+2r^3+10r^2+r+10=0 are r=-2
Find the zeros of r^5+2r^3+10r^2+r+10=0
The zeros of r^5+2r^3+10r^2+r+10=0 are r=-2