Question

solve the simple equation :
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$\frac{360}{n - 1} - \frac{360}{n + 1} = 15$
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I will be thankful to get an answer on paper​

Answer 1

Step-by-step explanation:

solution is attached

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Answer 2

Answer:

Given expression

$\dfrac{360}{n - 1} - \dfrac{360}{n + 1} = 15$

can be reduced to a quadratic equation in form of n and after solving that equation we can easily find the value of n as shown below :-)

$\dfrac{360}{n - 1} - \dfrac{360}{n + 1} = 15 \\ \\ \dfrac{360(n + 1) - 360(n - 1)}{(n - 1)(n + 1)} = 15 \\ \\ \dfrac{ \cancel{360n} + 360 - \cancel{ 360n} + 360}{ {n}^{2} - 1} = 15 \\ \\ 720 = 15 {n}^{2} - 15 \\ \\ 15 {n}^{2} = 735 \\ \\ {n}^{2} = \frac{735}{15} \\ \\ {n}^{2} = 49 \\ \\ n = \pm{7}$