What are the solutions to the equation 2x^5-x^4-2x+1=0 ?

The solutions to the equation 2x^5-x^4-2x+1=0 are x= 1/2 ,x=i,x=-i,x=-1,x=1

Find the zeros of 2x^5-x^4-2x+1=0

The zeros of 2x^5-x^4-2x+1=0 are x= 1/2 ,x=i,x=-i,x=-1,x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x^{5} - x^{4} - 2 x + 1 = 0

x = \frac{1}{2}, x = i, x = - i, x = - 1, x = 1

Solution steps

2 x^{5} - x^{4} - 2 x + 1 = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

2 x - 1 = 0 : x = \frac{1}{2}

Solve

x^{2} + 1 = 0 : x = i, x = - i

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = \frac{1}{2}, x = i, x = - i, x = - 1, x = 1

x^{3} - 11 x + 6 = 0

100 (1 + r)^{4} = 84

8 x^{3} + 6 x^{2} - 3 x - 1 = 0

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

- x^{3} + 3 = 0

What are the solutions to the equation 2x^5-x^4-2x+1=0 ?
The solutions to the equation 2x^5-x^4-2x+1=0 are x= 1/2 ,x=i,x=-i,x=-1,x=1
Find the zeros of 2x^5-x^4-2x+1=0
The zeros of 2x^5-x^4-2x+1=0 are x= 1/2 ,x=i,x=-i,x=-1,x=1