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Solving a Quadratic Equation by Completion of Squares Method

Solve for x...

Question

Solve for $x :$
$x^{2} - 5 x + 6 = 0$ .

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Solution

Given the quadratic equation is,
$x^{2} - 5 x + 6 = 0$
Splitting the middle term, we get:
$x^{2} - 3 x - 2 x + 6 = 0$
$(x - 3) (x - 2) = 0$
$x = 3, 2$

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