Question

find root of quadratic equation 3x2 - x - 4​

Answer 1

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$\red{\bold{\underline{\underline{❥Question᎓}}}}$ find root of quadratic equation 3x2 - x - 4

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$⟹3 {x}^{2} - x - 4 = 0$

$⟹3 {x}^{2} - 4x + 3x - 4 = 0$

$⟹3x(x - 4) + 3(x - 4) = 0$

$⟹(3x + 3)(x - 4) = 0$

$⟹3x + 3 = 0$

$⟹3x = - 3$

$⟹x = - 1$✓

$⟹x - 4 = 0$

$⟹x = 4$✓

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Answer 2

$3 {x}^{2} - x - 4 \\ = > 3 {x}^{2} + 3x - 4x - 4 \\ = > 3x(x + 1) - 4(x + 1) \\ \\ = > (3x - 4)(x + 1) \\ = > 3x - 4 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x + 1 = 0 \\ = > x = \frac{4}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = - 1 \\ \\ here \: \: roots \: \: of \: \: equation \: \: are \: \: \frac{4}{3} \: \: \\ and - 1$