Question

question:- solve this equation by completing the square method
$2 {x}^{2} - 9x + 18 = 0$
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Answer 1

$18 \times 2 = 36$

$find \: factors \: of \: 36$

$2x {}^{2} - 9x + 18$

$2x {}^{2} - 12x - 3x + 18$

$(2x - 3)(x - 6)$

$the \: equation \: equals \: to \: 0$

$2x - 3 = x - 6$

$x = - 3$

$splitting \: the \: middle \: term$

$2x(x - 6) \: - 3(x - 6)$