Question

3. 2x² -1/2x=0
solve equation using factorisation method
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Answer 1

$\large \mathfrak \red{Given:-}$

$\: \: \: \tt{ {2x}^{2} - \frac{1}{2} x = 0.}$

$\large\mathfrak \red{Solution:-}$

$\: \: \: \: \: \: \tt{2 {x}^{2} - \frac{1}{2} x = 0.}$

$\tt{LCM}$

$\: \: \: \: \: \: \tt{ \frac{4 {x}^{2} + x }{2} = 0.}$

$\: \: \: \: \: \: \tt{4 {x}^{2} - x = 0.}$

$\: \: \: \: \: \: \tt{4 {x}^{2} = x.}$

$\: \: \: \: \: \: \tt{4 x = 1.}$

$\: \: \: \: \: \: \tt{x = \frac{1}{4} .}$

$\tt{Therefore, the \: value \: of \: x \: be } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{ \red {x} = \frac{1}{4} .}$