What are the solutions to the equation 3p^2+p-9=-2 ?

The solutions to the equation 3p^2+p-9=-2 are p=(-1+sqrt(85))/6 ,p=(-1-sqrt(85))/6

Find the zeros of 3p^2+p-9=-2

The zeros of 3p^2+p-9=-2 are p=(-1+sqrt(85))/6 ,p=(-1-sqrt(85))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 p^{2} + p - 9 = - 2

p = \frac{- 1 + 85}{6}, p = \frac{- 1 - 85}{6}

Decimal Notation

p = 1.36992 \dots, p = - 1.70325 \dots

Solution steps

3 p^{2} + p - 9 = - 2

Move

2

to the left side

3 p^{2} + p - 7 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 3 ( - 7 )}{2 \cdot 3}

1^{2} - 4 \cdot 3 (- 7) = 85

p_{1, 2} = \frac{- 1 \pm 85}{2 \cdot 3}

Separate the solutions

p_{1} = \frac{- 1 + 85}{2 \cdot 3}, p_{2} = \frac{- 1 - 85}{2 \cdot 3}

p = \frac{- 1 + 85}{2 \cdot 3} : \frac{- 1 + 85}{6}

p = \frac{- 1 - 85}{2 \cdot 3} : \frac{- 1 - 85}{6}

The solutions to the quadratic equation are:

p = \frac{- 1 + 85}{6}, p = \frac{- 1 - 85}{6}

x^{2} - 8 + 15 = 0

8 - 6 x + x^{2} = 0

8 + 14 t - 15 t^{2} = 0

- 7 x^{2} + 28 = 0

x^{2} - 10 x + 29

What are the solutions to the equation 3p^2+p-9=-2 ?
The solutions to the equation 3p^2+p-9=-2 are p=(-1+sqrt(85))/6 ,p=(-1-sqrt(85))/6
Find the zeros of 3p^2+p-9=-2
The zeros of 3p^2+p-9=-2 are p=(-1+sqrt(85))/6 ,p=(-1-sqrt(85))/6