What are the solutions to the equation c^3+2c=3 ?

The solutions to the equation c^3+2c=3 are c=1,c=-1/2+i(sqrt(11))/2 ,c=-1/2-i(sqrt(11))/2

Find the zeros of c^3+2c=3

The zeros of c^3+2c=3 are c=1,c=-1/2+i(sqrt(11))/2 ,c=-1/2-i(sqrt(11))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

c^{3} + 2 c = 3

c = 1, c = - \frac{1}{2} + i \frac{11}{2}, c = - \frac{1}{2} - i \frac{11}{2}

Solution steps

c^{3} + 2 c = 3

Move

3

to the left side

c^{3} + 2 c - 3 = 0

Factor

c^{3} + 2 c - 3 : (c - 1) (c^{2} + c + 3)

(c - 1) (c^{2} + c + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

c - 1 = 0 or c^{2} + c + 3 = 0

Solve

c - 1 = 0 : c = 1

Solve

c^{2} + c + 3 = 0 : c = - \frac{1}{2} + i \frac{11}{2}, c = - \frac{1}{2} - i \frac{11}{2}

The solutions are

c = 1, c = - \frac{1}{2} + i \frac{11}{2}, c = - \frac{1}{2} - i \frac{11}{2}

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

4 x^{4} - 36 x^{2} = 0

(x - 1) (x^{2} + 1) = 0

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

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

What are the solutions to the equation c^3+2c=3 ?
The solutions to the equation c^3+2c=3 are c=1,c=-1/2+i(sqrt(11))/2 ,c=-1/2-i(sqrt(11))/2
Find the zeros of c^3+2c=3
The zeros of c^3+2c=3 are c=1,c=-1/2+i(sqrt(11))/2 ,c=-1/2-i(sqrt(11))/2