What are the solutions to the equation 1/3 x^2-1/9 x+10/9 =0 ?

The solutions to the equation 1/3 x^2-1/9 x+10/9 =0 are x= 1/6+i(sqrt(119))/6 ,x= 1/6-i(sqrt(119))/6

Find the zeros of 1/3 x^2-1/9 x+10/9 =0

The zeros of 1/3 x^2-1/9 x+10/9 =0 are x= 1/6+i(sqrt(119))/6 ,x= 1/6-i(sqrt(119))/6

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\frac{1}{3} x^{2} - \frac{1}{9} x + \frac{10}{9} = 0

x = \frac{1}{6} + i \frac{119}{6}, x = \frac{1}{6} - i \frac{119}{6}

Solution steps

\frac{1}{3} x^{2} - \frac{1}{9} x + \frac{10}{9} = 0

Find Least Common Multiplier of

3, 9 : 9

Multiply by LCM=

9

\frac{1}{3} x^{2} \cdot 9 - \frac{1}{9} x \cdot 9 + \frac{10}{9} \cdot 9 = 0 \cdot 9

Simplify

3 x^{2} - x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 \cdot 10}{2 \cdot 3}

Simplify

(- 1)^{2} - 4 \cdot 3 \cdot 10 : 119 i

x_{1, 2} = \frac{- ( - 1 ) \pm 119 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 119 i}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 119 i}{2 \cdot 3}

x = \frac{- ( - 1 ) + 119 i}{2 \cdot 3} : \frac{1}{6} + i \frac{119}{6}

x = \frac{- ( - 1 ) - 119 i}{2 \cdot 3} : \frac{1}{6} - i \frac{119}{6}

The solutions to the quadratic equation are:

x = \frac{1}{6} + i \frac{119}{6}, x = \frac{1}{6} - i \frac{119}{6}

0.64 7^{2} - 0.179 \cdot 0.647 - 0.368 \cdot 0.647

36 x^{2} y^{6} - 16

(x + 3)^{2}

- (\frac{3}{5})^{0}

4 x^{3} + 12 x^{2} - 25 x - 75

What are the solutions to the equation 1/3 x^2-1/9 x+10/9 =0 ?
The solutions to the equation 1/3 x^2-1/9 x+10/9 =0 are x= 1/6+i(sqrt(119))/6 ,x= 1/6-i(sqrt(119))/6
Find the zeros of 1/3 x^2-1/9 x+10/9 =0
The zeros of 1/3 x^2-1/9 x+10/9 =0 are x= 1/6+i(sqrt(119))/6 ,x= 1/6-i(sqrt(119))/6