What are the solutions to the equation x^5+x^3+x-3=0 ?

The solutions to the equation x^5+x^3+x-3=0 are x=1

Find the zeros of x^5+x^3+x-3=0

The zeros of x^5+x^3+x-3=0 are x=1

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

x = 1

Solution steps

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

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

2 x^{4} - 5 x^{2} + 36 = x^{4} + 8 x^{2}

5 x^{1} + 10 x^{2} + 15 x^{3} = 50

2 x^{4} = 432 x

x^{5} - 80 x + 50 = 0

What are the solutions to the equation x^5+x^3+x-3=0 ?
The solutions to the equation x^5+x^3+x-3=0 are x=1
Find the zeros of x^5+x^3+x-3=0
The zeros of x^5+x^3+x-3=0 are x=1