What are the solutions to the equation 3m^2+5m+1=0 ?

The solutions to the equation 3m^2+5m+1=0 are m=(-5+sqrt(13))/6 ,m=(-5-sqrt(13))/6

Find the zeros of 3m^2+5m+1=0

The zeros of 3m^2+5m+1=0 are m=(-5+sqrt(13))/6 ,m=(-5-sqrt(13))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 m^{2} + 5 m + 1 = 0

m = \frac{- 5 + 13}{6}, m = \frac{- 5 - 13}{6}

Decimal Notation

m = - 0.23240 \dots, m = - 1.43425 \dots

Solution steps

3 m^{2} + 5 m + 1 = 0

Solve with the quadratic formula

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

5^{2} - 4 \cdot 3 \cdot 1 = 13

m_{1, 2} = \frac{- 5 \pm 13}{2 \cdot 3}

Separate the solutions

m_{1} = \frac{- 5 + 13}{2 \cdot 3}, m_{2} = \frac{- 5 - 13}{2 \cdot 3}

m = \frac{- 5 + 13}{2 \cdot 3} : \frac{- 5 + 13}{6}

m = \frac{- 5 - 13}{2 \cdot 3} : \frac{- 5 - 13}{6}

The solutions to the quadratic equation are:

m = \frac{- 5 + 13}{6}, m = \frac{- 5 - 13}{6}

5 x^{2} = 2 x + 1

x^{2} = 24 - 5 x

0 = \frac{12 - x ^{2}}{8}

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

6 x^{2} - 54 x + 36 = 0

What are the solutions to the equation 3m^2+5m+1=0 ?
The solutions to the equation 3m^2+5m+1=0 are m=(-5+sqrt(13))/6 ,m=(-5-sqrt(13))/6
Find the zeros of 3m^2+5m+1=0
The zeros of 3m^2+5m+1=0 are m=(-5+sqrt(13))/6 ,m=(-5-sqrt(13))/6