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

The solutions to the equation x^2-1/3 x-2=0 are x=(1+sqrt(73))/6 ,x=(1-sqrt(73))/6

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

The zeros of x^2-1/3 x-2=0 are x=(1+sqrt(73))/6 ,x=(1-sqrt(73))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = \frac{1 + 73}{6}, x = \frac{1 - 73}{6}

Decimal Notation

x = 1.59066 \dots, x = - 1.25733 \dots

Solution steps

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

Multiply both sides by

3

3 x^{2} - x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( - 6 )}{2 \cdot 3}

(- 1)^{2} - 4 \cdot 3 (- 6) = 73

x_{1, 2} = \frac{- ( - 1 ) \pm 73}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 73}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 73}{2 \cdot 3}

x = \frac{- ( - 1 ) + 73}{2 \cdot 3} : \frac{1 + 73}{6}

x = \frac{- ( - 1 ) - 73}{2 \cdot 3} : \frac{1 - 73}{6}

The solutions to the quadratic equation are:

x = \frac{1 + 73}{6}, x = \frac{1 - 73}{6}

(x + 25)^{2} + 7 = 0

x^{2} - 3 x = 0

2 x^{2} - 11 = - 47

5 (x - 9)^{2} = 720

x^{2} - 9

What are the solutions to the equation x^2-1/3 x-2=0 ?
The solutions to the equation x^2-1/3 x-2=0 are x=(1+sqrt(73))/6 ,x=(1-sqrt(73))/6
Find the zeros of x^2-1/3 x-2=0
The zeros of x^2-1/3 x-2=0 are x=(1+sqrt(73))/6 ,x=(1-sqrt(73))/6