What are the solutions to the equation 1/3 x^2+1/21 x-1=0 ?

The solutions to the equation 1/3 x^2+1/21 x-1=0 are x=(-1+sqrt(589))/(14),x=(-1-sqrt(589))/(14)

Find the zeros of 1/3 x^2+1/21 x-1=0

The zeros of 1/3 x^2+1/21 x-1=0 are x=(-1+sqrt(589))/(14),x=(-1-sqrt(589))/(14)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{1}{3} x^{2} + \frac{1}{21} x - 1 = 0

x = \frac{- 1 + 589}{14}, x = \frac{- 1 - 589}{14}

Decimal Notation

x = 1.66209 \dots, x = - 1.80495 \dots

Solution steps

\frac{1}{3} x^{2} + \frac{1}{21} x - 1 = 0

Find Least Common Multiplier of

3, 21 : 21

Multiply by LCM=

21

\frac{1}{3} x^{2} \cdot 21 + \frac{1}{21} x \cdot 21 - 1 \cdot 21 = 0 \cdot 21

Simplify

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

Solve with the quadratic formula

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

1^{2} - 4 \cdot 7 (- 21) = 589

x_{1, 2} = \frac{- 1 \pm 589}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- 1 + 589}{2 \cdot 7}, x_{2} = \frac{- 1 - 589}{2 \cdot 7}

x = \frac{- 1 + 589}{2 \cdot 7} : \frac{- 1 + 589}{14}

x = \frac{- 1 - 589}{2 \cdot 7} : \frac{- 1 - 589}{14}

The solutions to the quadratic equation are:

x = \frac{- 1 + 589}{14}, x = \frac{- 1 - 589}{14}

\frac{1}{6} - \frac{5}{7}

380

18 x^{2} - 24 x + 8

4 x - 2 x^{2} = - \frac{8}{3}

(9 + 6 i) (7 + 4 i)

What are the solutions to the equation 1/3 x^2+1/21 x-1=0 ?
The solutions to the equation 1/3 x^2+1/21 x-1=0 are x=(-1+sqrt(589))/(14),x=(-1-sqrt(589))/(14)
Find the zeros of 1/3 x^2+1/21 x-1=0
The zeros of 1/3 x^2+1/21 x-1=0 are x=(-1+sqrt(589))/(14),x=(-1-sqrt(589))/(14)