Question

${3x}^{2} + 5x - 2 = 0 \: slove \: this$
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Answer 1

Answer:

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Answer 2

Answer:

$\bf\ x = - 2 \: and \: \frac{1}{3}$

Step-by-step explanation:

$\bf\ {3x}^{2} + 5x - 2 = 0 \\ \\ \sf\red{ \underline{using \:splitting \: the \: middle \: term \: method } } \\ \\ \sf\ \implies: {3x}^{2} + (6x - x) - 2 = 0 \\ \\\sf\ \implies: {3x}^{2} + 6x - x - 2 = 0 \\ \\ \sf\ \implies:3x(x + 2) - 1(x + 2) = 0 \\ \\ \sf\ \implies:(3x - 1)(x + 2) = 0 \\ \\ \bf\ \bigstar 3x - 1 = 0 \\ \sf\boxed{ \implies: x = \frac{1}{3} } \\ \\ \bf\ \bigstar \: x + 2 = 0 \\\sf\boxed{ \implies: x = - 2 }$