What are the solutions to the equation 3x^2+5x+11=0 ?

The solutions to the equation 3x^2+5x+11=0 are x=-5/6+i(sqrt(107))/6 ,x=-5/6-i(sqrt(107))/6

Find the zeros of 3x^2+5x+11=0

The zeros of 3x^2+5x+11=0 are x=-5/6+i(sqrt(107))/6 ,x=-5/6-i(sqrt(107))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{2} + 5 x + 11 = 0

x = - \frac{5}{6} + i \frac{107}{6}, x = - \frac{5}{6} - i \frac{107}{6}

Solution steps

3 x^{2} + 5 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 3 \cdot 11}{2 \cdot 3}

Simplify

5^{2} - 4 \cdot 3 \cdot 11 : 107 i

x_{1, 2} = \frac{- 5 \pm 107 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 5 + 107 i}{2 \cdot 3}, x_{2} = \frac{- 5 - 107 i}{2 \cdot 3}

x = \frac{- 5 + 107 i}{2 \cdot 3} : - \frac{5}{6} + i \frac{107}{6}

x = \frac{- 5 - 107 i}{2 \cdot 3} : - \frac{5}{6} - i \frac{107}{6}

The solutions to the quadratic equation are:

x = - \frac{5}{6} + i \frac{107}{6}, x = - \frac{5}{6} - i \frac{107}{6}

\frac{1}{8} x^{2} + x + 2 = 0

\frac{x ^{2}}{2} = \frac{1}{6} + \frac{x}{12}

x^{2} - 2 x + \frac{1}{2} = 0

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

x^{2} - 16 x - 192 = 0

What are the solutions to the equation 3x^2+5x+11=0 ?
The solutions to the equation 3x^2+5x+11=0 are x=-5/6+i(sqrt(107))/6 ,x=-5/6-i(sqrt(107))/6
Find the zeros of 3x^2+5x+11=0
The zeros of 3x^2+5x+11=0 are x=-5/6+i(sqrt(107))/6 ,x=-5/6-i(sqrt(107))/6