Question

If x-1/x=15/4 then find the value of x+1/x.

Answer 1

Hope u like my process
======================
$= > x - \frac{1}{x} = \frac{15}{4} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \bf \underline{now} \\ \\ = > {(x + \frac{1}{x}) }^{2} = {(x - \frac{1}{x}) }^{2} + 4x. \frac{1}{x} \\ \\ = > \bf x + \frac{1}{x} = \sqrt{ {( \frac{15}{4} ) }^{2} + 4 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{4} \sqrt{ {15}^{2} + 4 \times {4}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{4} \sqrt{225 + 64} = \frac{1}{4} \sqrt{289} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \bf \underline{ \frac{17}{4} }$
Hope this is ur required answer

Proud to help you

Answer 2

Here is your answer buddy,

X-1/X = 15/4
=>4X - 4 = 15X
=> 4X - 15X = 4
=> - 11X = 4
=> X = -4/11

Now value of X+1 is = - 4/11 +1
= 7/11
therefore the value of X+1/X = 7/11 * 11/-4
= -7/4

HOPE THIS HELPS YOU. HAVE A NICE DAY!!