Question

14. If x=
5-21/
2
find the value of x +
of 1/x​

Answer 1

Answer:

x + 1/x = -125/22

Step-by-step explanation:

$x = 5 - \frac{21}{2} \\ x = \frac{10 - 21}{2} \\x = \frac{ - 11}{2}$

substituting the value of x in

$x + \frac{1}{x} \\ we \: get \\ ( \frac{ - 11}{2} ) + \frac{1}{( \frac{ - 11}{2}) } \\ = \frac{ - 11}{2} + 1 \times ( - \frac{2 }{11} ) \\ = \frac{ - 11}{2} + \frac{ - 2}{11} \\ = \frac{ - 121 - 4}{22 } \\ = \frac{ -125 }{22}$

Thus, x + 1/x = -125/22.