Question

x-3/x=2 solve by factorisation​

Answer 1

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Q:-x-3/x=2 solve by factorisation

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$⟹</p><p>x - \frac{3}{x} = 2$

$⟹</p><p> \frac{ {x}^{2} - 3}{x} = 2$

$⟹</p><p> {x}^{2} - 3 = 2x$

$⟹</p><p> {x}^{2} - 2x - 3 = 0$

$⟹</p><p> {x}^{2} - 3x + x - 3 = 0$

$⟹</p><p>x(x - 3) + 1(x - 3) = 0$

$⟹</p><p>(x + 1)(x - 3) = 0$

$⟹</p><p>x + 1 = 0$

$⟹</p><p>x = - 1$✓

$x - 3 = 0$

$⟹</p><p>x = 3$✓

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HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

Answer:

x-3/x = 2

x²/x -3/x =2

x² -3 = 2x

x² -2x -3

x² -(3-1)x -3

x² - 3x +1x -3

x(x -3) +1(x-3)

(x+1) (x-3)