What are the solutions to the equation x^2+2/3 x+1/12 =0 ?

The solutions to the equation x^2+2/3 x+1/12 =0 are x=-1/6 ,x=-1/2

Find the zeros of x^2+2/3 x+1/12 =0

The zeros of x^2+2/3 x+1/12 =0 are x=-1/6 ,x=-1/2

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x^{2} + \frac{2}{3} x + \frac{1}{12} = 0

x = - \frac{1}{6}, x = - \frac{1}{2}

Decimal Notation

x = - 0.16666 \dots, x = - 0.5

Solution steps

x^{2} + \frac{2}{3} x + \frac{1}{12} = 0

Find Least Common Multiplier of

3, 12 : 12

Multiply by LCM=

12

x^{2} \cdot 12 + \frac{2}{3} x \cdot 12 + \frac{1}{12} \cdot 12 = 0 \cdot 12

Simplify

12 x^{2} + 8 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 12 \cdot 1}{2 \cdot 12}

8^{2} - 4 \cdot 12 \cdot 1 = 4

x_{1, 2} = \frac{- 8 \pm 4}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- 8 + 4}{2 \cdot 12}, x_{2} = \frac{- 8 - 4}{2 \cdot 12}

x = \frac{- 8 + 4}{2 \cdot 12} : - \frac{1}{6}

x = \frac{- 8 - 4}{2 \cdot 12} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{6}, x = - \frac{1}{2}

12 x^{2} - 32 x + 15 = 0

m^{2} = 121

3 x^{2} + 12 = 39

(2 x + 1) (x - 5) = 0

x (x + 1) - 5 (x + 1) = (x + 1)

What are the solutions to the equation x^2+2/3 x+1/12 =0 ?
The solutions to the equation x^2+2/3 x+1/12 =0 are x=-1/6 ,x=-1/2
Find the zeros of x^2+2/3 x+1/12 =0
The zeros of x^2+2/3 x+1/12 =0 are x=-1/6 ,x=-1/2