Question

if x = 4- underoot 15 , find the value of x+1/x

Answer 1

x=4-√15
1/x= 1/4-√15 = 1/4-√15 × 4+√15/4+√15
=4+√15/(4×4)- (√15×√15)
= 4+√15/ 16-15
=4+√15/1= 4+√15

now, A.T.Q= x+1/x
= (4-√15) + (4+√15)
= 4-√15+4+√15
= 4+4-√15+√15
= 8

Answer 2

let's see ,
we have x= 4-√15
x+1/x= ?
4-√15+1/(4-√15)

=> (4-√15)²+1/(4-√15)

=> 16 + 15 - 8√15 +1 /4-√15

=> 32 - 8√5 /4-√15

=> 8 (4-√15) /4-√15)

=> 8
answer is 8.
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