Question

Solve using middle term factorisation
12x²-7x+1

Answer 1

PLS MARK AS BRAINLIEST

Answer 2

Answer

• 12x² - 7x + 1

solve by using splitting the middle term

$\bold{ 12 {x}^{2} - 7x + 1 = 0 } \\ \\ : \implies\bold{12 {x}^{2} - (4 + 3)x + 1 = 0} \: \: \: \: \: \: \: \\ \\ \bold{ : \implies \: 12 {x}^{2} - 4x - 3x + 1 = 0} \: \: \: \: \: \: \: \\ \\ \bold{: \implies \: 4x(3x - 1) - 1(3x - 1) = 0 } \\ \\ \bold{: \implies \: (4x - 1)(3x - 1) = 0 } \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, factors of the equation are

• (4x - 1) and (3x - 1)

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now, for finding the roots of the equation;

put 4x - 1 = 0 and 3x - 1 = 0

➪ 4x = 1 and 3x = 1

➪ x = ¼ and x = ⅓

so, roots of the equation are 1/4 and 1/3