What are the solutions to the equation x^3-5x^2+5x-25=0 ?

The solutions to the equation x^3-5x^2+5x-25=0 are x=5,x=sqrt(5)i,x=-sqrt(5)i

Find the zeros of x^3-5x^2+5x-25=0

The zeros of x^3-5x^2+5x-25=0 are x=5,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} - 5 x^{2} + 5 x - 25 = 0

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

Solution steps

x^{3} - 5 x^{2} + 5 x - 25 = 0

Factor

x^{3} - 5 x^{2} + 5 x - 25 : (x - 5) (x^{2} + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 5 = 0 : x = 5

Solve

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

The solutions are

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

- x^{3} + 13 x^{2} - 56 x + 80 = 0

z^{3} - 27 = 0

- x^{3} + 6 x^{2} - 9 x + 4 = 0

x^{4} - 37 x^{2} + 36 = 0

x^{3} - 7 x + 12 = 0

What are the solutions to the equation x^3-5x^2+5x-25=0 ?
The solutions to the equation x^3-5x^2+5x-25=0 are x=5,x=sqrt(5)i,x=-sqrt(5)i
Find the zeros of x^3-5x^2+5x-25=0
The zeros of x^3-5x^2+5x-25=0 are x=5,x=sqrt(5)i,x=-sqrt(5)i