What are the solutions to the equation x^3+5xx+11x=0 ?

The solutions to the equation x^3+5xx+11x=0 are x=0,x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2

Find the zeros of x^3+5xx+11x=0

The zeros of x^3+5xx+11x=0 are x=0,x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} + 5 xx + 11 x = 0

x = 0, x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

Solution steps

x^{3} + 5 xx + 11 x = 0

Factor

x^{3} + 5 xx + 11 x : x (x^{2} + 5 x + 11)

x (x^{2} + 5 x + 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 5 x + 11 = 0

Solve

x^{2} + 5 x + 11 = 0 : x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

The solutions are

x = 0, x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

4 x^{3} + 16 x^{2} - 9 x - 36 = 0

9 a^{3} - 441 a = - 4 a^{2} + 196

\frac{2 - i}{1 + 2 i} \cdot z^{4} = 1

x^{3} + x^{2} + 2 x + 1 = 0

x^{3} - 40 x^{2} + 404 x - 80 = 0

What are the solutions to the equation x^3+5xx+11x=0 ?
The solutions to the equation x^3+5xx+11x=0 are x=0,x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2
Find the zeros of x^3+5xx+11x=0
The zeros of x^3+5xx+11x=0 are x=0,x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2