Question

solve the following equation

(a) a+6 /a-2 - a-3 /a+4 =0

don't write rubbish answer
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Answer 1

$\sf{ \frac{a + 6}{a - 2} - \frac{a - 3}{a + 4} = 0}$

$\sf \small\to{(a + 4) \: (a + 6) - (a - 2) \: (a - 3) = 0}$

$\sf\small\to{ {a}^{2} + 10a + 24 - (a - 2) \: (a - 3) = 0}$

$\sf\small\to{ {a}^{2} + 10a + 24 - {a}^{2} + 5a - 6 = 0}$

$\sf\small\to{15a + 24 - 6 = 0}$

$\sf\small\to{15a + 18 = 0}$

$\sf\small\to{15a = - 18}$

$\sf\small\to{a = \frac{ - 18}{15}}$

$\sf\small\to{a = \frac{ - 6}{5}}$

$\sf\small\to{a = - 1.2}$

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