What are the solutions to the equation (x^2)/2+(10x)/3+2=0 ?

The solutions to the equation (x^2)/2+(10x)/3+2=0 are x=-2/3 ,x=-6

Find the zeros of (x^2)/2+(10x)/3+2=0

The zeros of (x^2)/2+(10x)/3+2=0 are x=-2/3 ,x=-6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{x ^{2}}{2} + \frac{10 x}{3} + 2 = 0

x = - \frac{2}{3}, x = - 6

Decimal Notation

x = - 0.66666 \dots, x = - 6

Solution steps

\frac{x ^{2}}{2} + \frac{10 x}{3} + 2 = 0

Find Least Common Multiplier of

2, 3 : 6

Multiply by LCM=

6

\frac{x ^{2}}{2} \cdot 6 + \frac{10 x}{3} \cdot 6 + 2 \cdot 6 = 0 \cdot 6

Simplify

3 x^{2} + 20 x + 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 3 \cdot 12}{2 \cdot 3}

2 0^{2} - 4 \cdot 3 \cdot 12 = 16

x_{1, 2} = \frac{- 20 \pm 16}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 20 + 16}{2 \cdot 3}, x_{2} = \frac{- 20 - 16}{2 \cdot 3}

x = \frac{- 20 + 16}{2 \cdot 3} : - \frac{2}{3}

x = \frac{- 20 - 16}{2 \cdot 3} : - 6

The solutions to the quadratic equation are:

x = - \frac{2}{3}, x = - 6

4 + 6 x - x^{2} = 0

- 0.08 x^{2} + 2.784 x + 1.7 = 0

(x - 1)^{2} - 49 = 1

\frac{x}{2} + 10 = - x^{2} + 15

w^{2} + 11 w = - 28

What are the solutions to the equation (x^2)/2+(10x)/3+2=0 ?
The solutions to the equation (x^2)/2+(10x)/3+2=0 are x=-2/3 ,x=-6
Find the zeros of (x^2)/2+(10x)/3+2=0
The zeros of (x^2)/2+(10x)/3+2=0 are x=-2/3 ,x=-6