What are the solutions to the equation 3y^2+10y+3=2y ?

The solutions to the equation 3y^2+10y+3=2y are y=(-4+sqrt(7))/3 ,y=-(4+sqrt(7))/3

Find the zeros of 3y^2+10y+3=2y

The zeros of 3y^2+10y+3=2y are y=(-4+sqrt(7))/3 ,y=-(4+sqrt(7))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 y^{2} + 10 y + 3 = 2 y

y = \frac{- 4 + 7}{3}, y = - \frac{4 + 7}{3}

Decimal Notation

y = - 0.45141 \dots, y = - 2.21525 \dots

Solution steps

3 y^{2} + 10 y + 3 = 2 y

Move

2 y

to the left side

3 y^{2} + 8 y + 3 = 0

Solve with the quadratic formula

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

8^{2} - 4 \cdot 3 \cdot 3 = 27

y_{1, 2} = \frac{- 8 \pm 2 7}{2 \cdot 3}

Separate the solutions

y_{1} = \frac{- 8 + 2 7}{2 \cdot 3}, y_{2} = \frac{- 8 - 2 7}{2 \cdot 3}

y = \frac{- 8 + 2 7}{2 \cdot 3} : \frac{- 4 + 7}{3}

y = \frac{- 8 - 2 7}{2 \cdot 3} : - \frac{4 + 7}{3}

The solutions to the quadratic equation are:

y = \frac{- 4 + 7}{3}, y = - \frac{4 + 7}{3}

(x + 3) (x - 3) = 3 x - 11

a, a^{2} + b^{2} = 2 ab

4 x^{2} + 6 = - 9 x

3 x (x + 1) + 56 = 5 x + 86 - 2 x

3 x^{2} = 81 - x^{2}

What are the solutions to the equation 3y^2+10y+3=2y ?
The solutions to the equation 3y^2+10y+3=2y are y=(-4+sqrt(7))/3 ,y=-(4+sqrt(7))/3
Find the zeros of 3y^2+10y+3=2y
The zeros of 3y^2+10y+3=2y are y=(-4+sqrt(7))/3 ,y=-(4+sqrt(7))/3