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

The solutions to the equation 1/3 x^2+x/2-1/3 =0 are x= 1/2 ,x=-2

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

The zeros of 1/3 x^2+x/2-1/3 =0 are x= 1/2 ,x=-2

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

x = \frac{1}{2}, x = - 2

Decimal Notation

x = 0.5, x = - 2

Solution steps

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

Find Least Common Multiplier of

3, 2 : 6

Multiply by LCM=

6

\frac{1}{3} x^{2} \cdot 6 + \frac{x}{2} \cdot 6 - \frac{1}{3} \cdot 6 = 0 \cdot 6

Simplify

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

Solve with the quadratic formula

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

3^{2} - 4 \cdot 2 (- 2) = 5

x_{1, 2} = \frac{- 3 \pm 5}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 3 + 5}{2 \cdot 2}, x_{2} = \frac{- 3 - 5}{2 \cdot 2}

x = \frac{- 3 + 5}{2 \cdot 2} : \frac{1}{2}

x = \frac{- 3 - 5}{2 \cdot 2} : - 2

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - 2

- 6 - 3 x + 3 x^{2} - 4 x - 8 - 9 x - 4 = - 2 x^{2} + 3 x^{2}

x^{2} - 9 x + 39 = 0

v^{2} - 4 v + 3 = 0

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

- x^{2} - 20 x - 100 = 0

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