# If x=5-root24 then find 10{x^2+1/x^2}-97{x+1/x}-10

2
by tssuyambulingam

2015-04-25T12:35:41+05:30

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The key thing is to use the identity

In light of that, start by working the value of

Use the earlier identity to find the value of  :

Plug these values in the given expression and simplify :
you are superb
haha ty :) i hope the steps are clear enough this time... just ask if something doesn't make sense... had to skip couple steps to make the solution not too lengthy..
2015-04-25T12:41:21+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
If
x=5-√24
1/x=1/5-√24
on rationalize
1/x=1        × 5+√24    =5+√24  =5+√24
5-√24      5+√24    25-25

on looking identity (x+1/x)²=x²+1/x²+2
x²+1/x²=(x+1/x)²-2
on putting value
(5-√24 +5+√24)² -2
100-2=98
According to question
10{x²+1/x²} -97{x+1/x)-10
10(98) -97(10)-10
980-970-10⇒980-980=0