What are the solutions to the equation 9w^2+6w+1=-18 ?

The solutions to the equation 9w^2+6w+1=-18 are w=-1/3+sqrt(2)i,w=-1/3-sqrt(2)i

Find the zeros of 9w^2+6w+1=-18

The zeros of 9w^2+6w+1=-18 are w=-1/3+sqrt(2)i,w=-1/3-sqrt(2)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9 w^{2} + 6 w + 1 = - 18

w = - \frac{1}{3} + 2 i, w = - \frac{1}{3} - 2 i

Solution steps

9 w^{2} + 6 w + 1 = - 18

Move

18

to the left side

9 w^{2} + 6 w + 19 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 9 \cdot 19}{2 \cdot 9}

Simplify

6^{2} - 4 \cdot 9 \cdot 19 : 182 i

w_{1, 2} = \frac{- 6 \pm 18 2 i}{2 \cdot 9}

Separate the solutions

w_{1} = \frac{- 6 + 18 2 i}{2 \cdot 9}, w_{2} = \frac{- 6 - 18 2 i}{2 \cdot 9}

w = \frac{- 6 + 18 2 i}{2 \cdot 9} : - \frac{1}{3} + 2 i

w = \frac{- 6 - 18 2 i}{2 \cdot 9} : - \frac{1}{3} - 2 i

The solutions to the quadratic equation are:

w = - \frac{1}{3} + 2 i, w = - \frac{1}{3} - 2 i

d x^{2} = 3.6

13 x^{2} + 25 x + 25 = 0

1 - x - 2 x^{2} = 0

x^{2} + 8 = - 8 x

2 x^{2} - 6 = 120

What are the solutions to the equation 9w^2+6w+1=-18 ?
The solutions to the equation 9w^2+6w+1=-18 are w=-1/3+sqrt(2)i,w=-1/3-sqrt(2)i
Find the zeros of 9w^2+6w+1=-18
The zeros of 9w^2+6w+1=-18 are w=-1/3+sqrt(2)i,w=-1/3-sqrt(2)i