Question

2x-10/x=1 solve by factorisation
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Answer 1

Answer:

$2x - \frac{10}{x} = 1 \\ \\ = > \frac{2 {x}^{2} - 10 }{x} = 1 \\ \\ = > 2 {x}^{2} - 10 = x \\ \\ = > 2 {x}^{2} - x - 10 = 0 \\ \\ = > 2 {x}^{2} - (5 - 4)x - 10 = 0 \\ \\ = > 2 {x}^{2} - 5x + 4x - 10 = 0 \\ \\ = > x(2x - 5) + 2(2x - 5) = 0 \\ \\ = > (2x - 5)(x + 2) = 0 \\ \\ either \: 2x - 5 = 0 \\ \\ = > x = \frac{5}{2} \\ \\ or \: x + 2 = 0 \\ \\ = > x = - 2$

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Answer 2

$\huge\underline\mathfrak\color{blue}{AnSWeR}$

$2x - \frac{10}{x} = 1$

$\frac{ {2x }^{2} - 10}{x} = 1$

${2x}^{2} - 10 = x$

$2 {x}^{2} - x - 10 = 0$

$2 {x}^{2} + 4x - 5x - 10 = 0$

$2x(x + 2) - 5(x + 2) = 0$

$(x + 2)(2x - 5) = 0$

$x + 2 = 0 \: \: , \: \: \: \: 2x - 5 = 0$

$x = - 2 \: \: \: ,\: \: \: 2x = 5$

$x = - 2 \: \: \: ,\: \: \: x = \frac{5}{2}$