What are the solutions to the equation solvefor x,x^5+x^3+x=3 ?

The solutions to the equation solvefor x,x^5+x^3+x=3 are x=1

Find the zeros of solvefor x,x^5+x^3+x=3

The zeros of solvefor x,x^5+x^3+x=3 are x=1

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solve for

x, x^{5} + x^{3} + x = 3

x = 1

Solution steps

x^{5} + x^{3} + x = 3

Move

3

to the left side

x^{5} + x^{3} + x - 3 = 0

Factor

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

(x - 1) (x^{4} + x^{3} + 2 x^{2} + 2 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x^{4} + x^{3} + 2 x^{2} + 2 x + 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

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

No Solution for

x \in R

The solution is

x = 1

2 x^{4} - 11 x^{2} + 12 = 0

2 x + x^{5} + x^{2} = 4

6500 = 6000 (1 + \frac{r}{4})^{24}

x^{3} + 6 x^{2} - 24 x - 64 = 0

t^{4} - 11 t^{2} + 18 = 0

What are the solutions to the equation solvefor x,x^5+x^3+x=3 ?
The solutions to the equation solvefor x,x^5+x^3+x=3 are x=1
Find the zeros of solvefor x,x^5+x^3+x=3
The zeros of solvefor x,x^5+x^3+x=3 are x=1