What are the solutions to the equation 10m^2+8m+3=0 ?

The solutions to the equation 10m^2+8m+3=0 are m=-2/5+i(sqrt(14))/(10),m=-2/5-i(sqrt(14))/(10)

Find the zeros of 10m^2+8m+3=0

The zeros of 10m^2+8m+3=0 are m=-2/5+i(sqrt(14))/(10),m=-2/5-i(sqrt(14))/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10 m^{2} + 8 m + 3 = 0

m = - \frac{2}{5} + i \frac{14}{10}, m = - \frac{2}{5} - i \frac{14}{10}

Solution steps

10 m^{2} + 8 m + 3 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 10 \cdot 3}{2 \cdot 10}

Simplify

8^{2} - 4 \cdot 10 \cdot 3 : 214 i

m_{1, 2} = \frac{- 8 \pm 2 14 i}{2 \cdot 10}

Separate the solutions

m_{1} = \frac{- 8 + 2 14 i}{2 \cdot 10}, m_{2} = \frac{- 8 - 2 14 i}{2 \cdot 10}

m = \frac{- 8 + 2 14 i}{2 \cdot 10} : - \frac{2}{5} + i \frac{14}{10}

m = \frac{- 8 - 2 14 i}{2 \cdot 10} : - \frac{2}{5} - i \frac{14}{10}

The solutions to the quadratic equation are:

m = - \frac{2}{5} + i \frac{14}{10}, m = - \frac{2}{5} - i \frac{14}{10}

- (x + 3)^{2} + 5 = 0

(x + 2)^{2} - 3 = 4 x

y, x^{2} y^{2} - 2 x = 3

4 x^{2} + 2 x + 7

x^{2} - 4 x - 5 = 16

What are the solutions to the equation 10m^2+8m+3=0 ?
The solutions to the equation 10m^2+8m+3=0 are m=-2/5+i(sqrt(14))/(10),m=-2/5-i(sqrt(14))/(10)
Find the zeros of 10m^2+8m+3=0
The zeros of 10m^2+8m+3=0 are m=-2/5+i(sqrt(14))/(10),m=-2/5-i(sqrt(14))/(10)