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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 1, x = 5 i, x = - 5 i

Solution steps

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

Factor

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

(x - 1) (x^{2} + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

x^{2} + 5 = 0 : x = 5 i, x = - 5 i

The solutions are

x = 1, x = 5 i, x = - 5 i

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

20 x^{2} - 32 x - 2 x^{3} = 0

(x + 4)^{3} - 9 x = 36

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

x^{3} + x + 6 = 0

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