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

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

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

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

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

y = \frac{1}{3}

Decimal Notation

y = 0.33333 \dots

Solution steps

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

Find Least Common Multiplier of

3, 9 : 9

Multiply by LCM=

9

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

Simplify

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

Solve with the quadratic formula

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

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

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

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

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

y = \frac{1}{3}

The solution to the quadratic equation is:

y = \frac{1}{3}

x^{2} - 1 x - 42

x + 1.8 = 3.4

\frac{7}{81}

x^{2} - 4 x + 53 = 0

\frac{- 18 a ^{7} b ^{3} + 9 a ^{4} b ^{2} - 63 a ^{2} b}{9 ab}

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