What are the solutions to the equation x^5-x^4-2x^3+2x^2=0 ?

The solutions to the equation x^5-x^4-2x^3+2x^2=0 are x=0,x=1,x=-sqrt(2),x=sqrt(2)

Find the zeros of x^5-x^4-2x^3+2x^2=0

The zeros of x^5-x^4-2x^3+2x^2=0 are x=0,x=1,x=-sqrt(2),x=sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 0, x = 1, x = - 2, x = 2

Decimal Notation

x = 0, x = 1, x = - 1.41421 \dots, x = 1.41421 \dots

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x + 2 = 0 or x - 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = 1, x = - 2, x = 2

2 x^{4} - 3 x^{3} - 12 x^{2} - 6 x + 5 = 0

3 x^{3} + 19 x^{2} + 21 x + 5 = 0

3 x^{3} + 4 x^{2} - 45 x - 60 = 0

x^{4} + 34 x^{2} + 225 = 0

x^{10} = 1.4567

What are the solutions to the equation x^5-x^4-2x^3+2x^2=0 ?
The solutions to the equation x^5-x^4-2x^3+2x^2=0 are x=0,x=1,x=-sqrt(2),x=sqrt(2)
Find the zeros of x^5-x^4-2x^3+2x^2=0
The zeros of x^5-x^4-2x^3+2x^2=0 are x=0,x=1,x=-sqrt(2),x=sqrt(2)