What are the solutions to the equation x^3-8x^2+21x-18x=0 ?

The solutions to the equation x^3-8x^2+21x-18x=0 are x=0,x=4+sqrt(13),x=4-sqrt(13)

Find the zeros of x^3-8x^2+21x-18x=0

The zeros of x^3-8x^2+21x-18x=0 are x=0,x=4+sqrt(13),x=4-sqrt(13)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} - 8 x^{2} + 21 x - 18 x = 0

x = 0, x = 4 + 13, x = 4 - 13

Decimal Notation

x = 0, x = 7.60555 \dots, x = 0.39444 \dots

Solution steps

x^{3} - 8 x^{2} + 21 x - 18 x = 0

Factor

x^{3} - 8 x^{2} + 21 x - 18 x : x (x^{2} - 8 x + 3)

x (x^{2} - 8 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 8 x + 3 = 0

Solve

x^{2} - 8 x + 3 = 0 : x = 4 + 13, x = 4 - 13

The solutions are

x = 0, x = 4 + 13, x = 4 - 13

- x^{3} + 3 x + (2 - 2) \cdot x^{2} - 2 = 0

z^{3} = - 8 i

x^{3} - 5 x^{2} + 7 x + 13 = 0

(d^{3} + 1)^{3} (d^{2} + d + 1) = 0

x^{6} + 11 x^{4} + 19 x^{2} - 91 = 0

What are the solutions to the equation x^3-8x^2+21x-18x=0 ?
The solutions to the equation x^3-8x^2+21x-18x=0 are x=0,x=4+sqrt(13),x=4-sqrt(13)
Find the zeros of x^3-8x^2+21x-18x=0
The zeros of x^3-8x^2+21x-18x=0 are x=0,x=4+sqrt(13),x=4-sqrt(13)