What are the solutions to the equation 3x^2+x+13=0 ?

The solutions to the equation 3x^2+x+13=0 are x=-1/6+i(sqrt(155))/6 ,x=-1/6-i(sqrt(155))/6

Find the zeros of 3x^2+x+13=0

The zeros of 3x^2+x+13=0 are x=-1/6+i(sqrt(155))/6 ,x=-1/6-i(sqrt(155))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} + x + 13 = 0

x = - \frac{1}{6} + i \frac{155}{6}, x = - \frac{1}{6} - i \frac{155}{6}

Solution steps

3 x^{2} + x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 3 \cdot 13}{2 \cdot 3}

Simplify

1^{2} - 4 \cdot 3 \cdot 13 : 155 i

x_{1, 2} = \frac{- 1 \pm 155 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 1 + 155 i}{2 \cdot 3}, x_{2} = \frac{- 1 - 155 i}{2 \cdot 3}

x = \frac{- 1 + 155 i}{2 \cdot 3} : - \frac{1}{6} + i \frac{155}{6}

x = \frac{- 1 - 155 i}{2 \cdot 3} : - \frac{1}{6} - i \frac{155}{6}

The solutions to the quadratic equation are:

x = - \frac{1}{6} + i \frac{155}{6}, x = - \frac{1}{6} - i \frac{155}{6}

\frac{2}{3} + \frac{4}{5}

7 x y + 14 x - 35 y - 70

4 x^{2} + 8 x + 3

k^{2} - 15 k + 50

10 x^{2} - 35 x - 20

What are the solutions to the equation 3x^2+x+13=0 ?
The solutions to the equation 3x^2+x+13=0 are x=-1/6+i(sqrt(155))/6 ,x=-1/6-i(sqrt(155))/6
Find the zeros of 3x^2+x+13=0
The zeros of 3x^2+x+13=0 are x=-1/6+i(sqrt(155))/6 ,x=-1/6-i(sqrt(155))/6