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Solving a Quadratic Equation by Completion of Squares Method

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Question

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

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Solution

Given,

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

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

$(x - 3) (x - 3) = 0$

$x = 3$

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