What are the solutions to the equation x^2+7/6 x+7/18 =0 ?

The solutions to the equation x^2+7/6 x+7/18 =0 are x=-7/12+i(sqrt(7))/(12),x=-7/12-i(sqrt(7))/(12)

Find the zeros of x^2+7/6 x+7/18 =0

The zeros of x^2+7/6 x+7/18 =0 are x=-7/12+i(sqrt(7))/(12),x=-7/12-i(sqrt(7))/(12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} + \frac{7}{6} x + \frac{7}{18} = 0

x = - \frac{7}{12} + i \frac{7}{12}, x = - \frac{7}{12} - i \frac{7}{12}

Solution steps

x^{2} + \frac{7}{6} x + \frac{7}{18} = 0

Find Least Common Multiplier of

6, 18 : 18

Multiply by LCM=

18

x^{2} \cdot 18 + \frac{7}{6} x \cdot 18 + \frac{7}{18} \cdot 18 = 0 \cdot 18

Simplify

18 x^{2} + 21 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 21 \pm 2 1 ^{2} - 4 \cdot 18 \cdot 7}{2 \cdot 18}

Simplify

2 1^{2} - 4 \cdot 18 \cdot 7 : 37 i

x_{1, 2} = \frac{- 21 \pm 3 7 i}{2 \cdot 18}

Separate the solutions

x_{1} = \frac{- 21 + 3 7 i}{2 \cdot 18}, x_{2} = \frac{- 21 - 3 7 i}{2 \cdot 18}

x = \frac{- 21 + 3 7 i}{2 \cdot 18} : - \frac{7}{12} + i \frac{7}{12}

x = \frac{- 21 - 3 7 i}{2 \cdot 18} : - \frac{7}{12} - i \frac{7}{12}

The solutions to the quadratic equation are:

x = - \frac{7}{12} + i \frac{7}{12}, x = - \frac{7}{12} - i \frac{7}{12}

6 = \frac{u}{9.6}

- 6 < x < - 3

36 - (p + 1)^{2}

\frac{1}{4} (8 x - 16) = \frac{1}{2} (8 x - 4)

\frac{( 2 + i ) - ( 3 - 4 i )}{( 5 - i ) ( 3 + i )}

What are the solutions to the equation x^2+7/6 x+7/18 =0 ?
The solutions to the equation x^2+7/6 x+7/18 =0 are x=-7/12+i(sqrt(7))/(12),x=-7/12-i(sqrt(7))/(12)
Find the zeros of x^2+7/6 x+7/18 =0
The zeros of x^2+7/6 x+7/18 =0 are x=-7/12+i(sqrt(7))/(12),x=-7/12-i(sqrt(7))/(12)