Question

if x=9+4root5 . find the value of rootx-1/x
​

Answer 1

Step-by-step explanation:

x=9+4

5

x=4+5+4

5

x=2

2

+(

5

)

2

+2×2×

5

x=(2+

5

)

2

Square rooting both sides

We get,

\begin{gathered}\sqrt{x} = \sqrt{ {(2 + \sqrt{5}) }^{2} } \\ \\ \sqrt{x} = 2 + \sqrt{5}\end{gathered}

x

=

(2+

5

)