Question

Factorise if 2x2-5x/6+1/12

Answer 1

${2x}^{2} - 5x \div 6 + 1 \div 12$
now, multiplying this equation with 12, we get,...
${24x }^{2} - 10x + 1 = 0$
${24x}^{2} - (6 + 4)x + 1 = 0$
${24x}^{2} - 6x - 4x + 1 = 0$

$6x(4x - 1) - 1(4x - 1) = 0$
$(6x - 1)(4x - 1) = 0$
now, either
$6x - 1 = x = 1 \div 6$
or
$4x - 1 = x = 1 \div 4$