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

The solutions to the equation (x^2)/3-x-2=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2

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

The zeros of (x^2)/3-x-2=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2

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

x = \frac{3 + 33}{2}, x = \frac{3 - 33}{2}

Decimal Notation

x = 4.37228 \dots, x = - 1.37228 \dots

Solution steps

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

Multiply both sides by

3

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

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 1 \cdot (- 6) = 33

x_{1, 2} = \frac{- ( - 3 ) \pm 33}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 33}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 33}{2 \cdot 1}

x = \frac{- ( - 3 ) + 33}{2 \cdot 1} : \frac{3 + 33}{2}

x = \frac{- ( - 3 ) - 33}{2 \cdot 1} : \frac{3 - 33}{2}

The solutions to the quadratic equation are:

x = \frac{3 + 33}{2}, x = \frac{3 - 33}{2}

2 x^{2} + 8 x + 10

9 x^{2} + 12 x - 3 = 0

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

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

(x - 3) (x + 7) = - 24

What are the solutions to the equation (x^2)/3-x-2=0 ?
The solutions to the equation (x^2)/3-x-2=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2
Find the zeros of (x^2)/3-x-2=0
The zeros of (x^2)/3-x-2=0 are x=(3+sqrt(33))/2 ,x=(3-sqrt(33))/2