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

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

Find the zeros of x^5+2x^3+x-1=3

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

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x^{5} + 2 x^{3} + x - 1 = 3

x = 1

Solution steps

x^{5} + 2 x^{3} + x - 1 = 3

Move

3

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

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

No Solution for

x \in R

The solution is

x = 1

x^{6} - 25 x^{4} - 16 x^{2} + 400 = 0

7 y^{3} + 17 y^{2} = 12 y

x, x^{3} + (y - 1)^{2} = 9

a, y = a^{3} + b^{2}

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

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