What are the solutions to the equation 2=x^5-x^3+2x ?

The solutions to the equation 2=x^5-x^3+2x are x=1

Find the zeros of 2=x^5-x^3+2x

The zeros of 2=x^5-x^3+2x are x=1

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2 = x^{5} - x^{3} + 2 x

x = 1

Solution steps

2 = x^{5} - x^{3} + 2 x

Switch sides

x^{5} - x^{3} + 2 x = 2

Move

2

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

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

No Solution for

x \in R

The solution is

x = 1

3 x^{3} + 3 x^{2} + x = 122

x^{3} = 120

x^{3} = 160

- 15 z + 41 z^{2} - 14 z^{3} = 0

\frac{4}{5} = 2500 r^{5}

What are the solutions to the equation 2=x^5-x^3+2x ?
The solutions to the equation 2=x^5-x^3+2x are x=1
Find the zeros of 2=x^5-x^3+2x
The zeros of 2=x^5-x^3+2x are x=1