What are the solutions to the equation x^3-6x^2+13x-10=0 ?

The solutions to the equation x^3-6x^2+13x-10=0 are x=2,x=2+i,x=2-i

Find the zeros of x^3-6x^2+13x-10=0

The zeros of x^3-6x^2+13x-10=0 are x=2,x=2+i,x=2-i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} - 6 x^{2} + 13 x - 10 = 0

x = 2, x = 2 + i, x = 2 - i

Solution steps

x^{3} - 6 x^{2} + 13 x - 10 = 0

Factor

x^{3} - 6 x^{2} + 13 x - 10 : (x - 2) (x^{2} - 4 x + 5)

(x - 2) (x^{2} - 4 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

x^{2} - 4 x + 5 = 0 : x = 2 + i, x = 2 - i

The solutions are

x = 2, x = 2 + i, x = 2 - i

2 y^{3} - 17 y^{2} - 9 y = 0

x^{400} = 9^{1000}

4 x^{4} = 53 x^{2} - 49

4 x^{3} - x - 1 = 0

15 = x^{5}

What are the solutions to the equation x^3-6x^2+13x-10=0 ?
The solutions to the equation x^3-6x^2+13x-10=0 are x=2,x=2+i,x=2-i
Find the zeros of x^3-6x^2+13x-10=0
The zeros of x^3-6x^2+13x-10=0 are x=2,x=2+i,x=2-i