Question

solve the simple equation :
$\frac{360}{n - 1} - \frac{360}{n + 1} = 15$
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Answer 1

Equation is (360/n - 1) - (360/n + 1) = 15

=> 360(n + 1) - 360(n - 1) = 15(n - 1)(n + 1)

=> 360n + 360 - 360n + 360 = 15n² - 15

=> 720 = 15n² - 15

=> 15n² = 735

=> n² = 49

=> n = 7,-7

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