What are the solutions to the equation 5x^2+6x+3=0 ?

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

Find the zeros of 5x^2+6x+3=0

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{2} + 6 x + 3 = 0

x = - \frac{3}{5} + i \frac{6}{5}, x = - \frac{3}{5} - i \frac{6}{5}

Solution steps

5 x^{2} + 6 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 5 \cdot 3}{2 \cdot 5}

Simplify

6^{2} - 4 \cdot 5 \cdot 3 : 26 i

x_{1, 2} = \frac{- 6 \pm 2 6 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 6 + 2 6 i}{2 \cdot 5}, x_{2} = \frac{- 6 - 2 6 i}{2 \cdot 5}

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

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

The solutions to the quadratic equation are:

x = - \frac{3}{5} + i \frac{6}{5}, x = - \frac{3}{5} - i \frac{6}{5}

6 x^{2} - 5 x - 1

(- 3)^{2}

4.2 x + 8 = 8 - 7 x

6 y^{3} - 150 y

2.1

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