What are the solutions to the equation x^3+3x^2+5x+15=0 ?

The solutions to the equation x^3+3x^2+5x+15=0 are x=-3,x=sqrt(5)i,x=-sqrt(5)i

Find the zeros of x^3+3x^2+5x+15=0

The zeros of x^3+3x^2+5x+15=0 are x=-3,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} + 3 x^{2} + 5 x + 15 = 0

x = - 3, x = 5 i, x = - 5 i

Solution steps

x^{3} + 3 x^{2} + 5 x + 15 = 0

Factor

x^{3} + 3 x^{2} + 5 x + 15 : (x + 3) (x^{2} + 5)

(x + 3) (x^{2} + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 3 = 0 : x = - 3

Solve

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

The solutions are

x = - 3, x = 5 i, x = - 5 i

x^{4} - 4 x^{2} + 1 = 0

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

x^{3} + 3 x^{2} = 36 x + 108

2 x^{3} + 9 x^{2} + 10 x + 3 = 0

- 5 x^{3} = 180 x

What are the solutions to the equation x^3+3x^2+5x+15=0 ?
The solutions to the equation x^3+3x^2+5x+15=0 are x=-3,x=sqrt(5)i,x=-sqrt(5)i
Find the zeros of x^3+3x^2+5x+15=0
The zeros of x^3+3x^2+5x+15=0 are x=-3,x=sqrt(5)i,x=-sqrt(5)i