What are the solutions to the equation r^3+9r=0 ?

The solutions to the equation r^3+9r=0 are r=0,r=3i,r=-3i

Find the zeros of r^3+9r=0

The zeros of r^3+9r=0 are r=0,r=3i,r=-3i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

r^{3} + 9 r = 0

r = 0, r = 3 i, r = - 3 i

Solution steps

r^{3} + 9 r = 0

Factor

r^{3} + 9 r : r (r^{2} + 9)

r (r^{2} + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

r = 0 or r^{2} + 9 = 0

Solve

r^{2} + 9 = 0 : r = 3 i, r = - 3 i

The solutions are

r = 0, r = 3 i, r = - 3 i

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

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

- m^{8} + 7 = 5

2 x^{5} - 20 x^{3} + 42 x = 0

x, 1 x^{6} - 5 x^{2} = 0

What are the solutions to the equation r^3+9r=0 ?
The solutions to the equation r^3+9r=0 are r=0,r=3i,r=-3i
Find the zeros of r^3+9r=0
The zeros of r^3+9r=0 are r=0,r=3i,r=-3i