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

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

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

The zeros of x^2-2/3 x+1/9 =0 are x= 1/3

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Find Least Common Multiplier of

3, 9 : 9

Multiply by LCM=

9

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

Simplify

9 x^{2} - 6 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 9 \cdot 1}{2 \cdot 9}

(- 6)^{2} - 4 \cdot 9 \cdot 1 = 0

x_{1, 2} = \frac{- ( - 6 ) \pm 0}{2 \cdot 9}

x = \frac{- ( - 6 )}{2 \cdot 9}

\frac{- ( - 6 )}{2 \cdot 9} = \frac{1}{3}

x = \frac{1}{3}

The solution to the quadratic equation is:

x = \frac{1}{3}

\frac{4}{11} \cdot \frac{10}{8}

(5 + 8 i) (5 - 8 i)

2 x - 1 < 3 x + 5 < 5 x - 7

\frac{7 + 17 i}{2 + 3 i}

5 < 3 x + 9 \leq 16

What are the solutions to the equation x^2-2/3 x+1/9 =0 ?
The solutions to the equation x^2-2/3 x+1/9 =0 are x= 1/3
Find the zeros of x^2-2/3 x+1/9 =0
The zeros of x^2-2/3 x+1/9 =0 are x= 1/3