What are the solutions to the equation x^3+5x^2+2x+10=0 ?

The solutions to the equation x^3+5x^2+2x+10=0 are x=-5,x=sqrt(2)i,x=-sqrt(2)i

Find the zeros of x^3+5x^2+2x+10=0

The zeros of x^3+5x^2+2x+10=0 are x=-5,x=sqrt(2)i,x=-sqrt(2)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} + 2 x + 10 = 0

x = - 5, x = 2 i, x = - 2 i

Solution steps

x^{3} + 5 x^{2} + 2 x + 10 = 0

Factor

x^{3} + 5 x^{2} + 2 x + 10 : (x + 5) (x^{2} + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 5 = 0 : x = - 5

Solve

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

The solutions are

x = - 5, x = 2 i, x = - 2 i

- x (6 x + 7) (x^{2} - 36) = 0

x^{5} + 125 x^{2} = 0

0 = 4 x^{4} - 17 x^{2} + 4

6 x^{3} = 11 x^{2} + 10 x

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

What are the solutions to the equation x^3+5x^2+2x+10=0 ?
The solutions to the equation x^3+5x^2+2x+10=0 are x=-5,x=sqrt(2)i,x=-sqrt(2)i
Find the zeros of x^3+5x^2+2x+10=0
The zeros of x^3+5x^2+2x+10=0 are x=-5,x=sqrt(2)i,x=-sqrt(2)i