if x=√5+2,then find the value of x²+1/x² .
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Answers
Step-by-step explanation:
Correct option is
Correct option isA
Correct option isA98
Correct option isA98We know, x
Correct option isA98We know, x 2
Correct option isA98We know, x 2 +
Correct option isA98We know, x 2 + x
Correct option isA98We know, x 2 + x 2
Correct option isA98We know, x 2 + x 2
Correct option isA98We know, x 2 + x 2 1
Correct option isA98We know, x 2 + x 2 1
Correct option isA98We know, x 2 + x 2 1 =(x−
Correct option isA98We know, x 2 + x 2 1 =(x− x
Correct option isA98We know, x 2 + x 2 1 =(x− x1
Correct option isA98We know, x 2 + x 2 1 =(x− x1
Correct option isA98We know, x 2 + x 2 1 =(x− x1 )
Correct option isA98We know, x 2 + x 2 1 =(x− x1 ) 2
Correct option isA98We know, x 2 + x 2 1 =(x− x1 ) 2 +2
Correct option isA98We know, x 2 + x 2 1 =(x− x1 ) 2 +2Given, x=5−2
Correct option isA98We know, x 2 + x 2 1 =(x− x1 ) 2 +2Given, x=5−2 6
Correct option isA98We know, x 2 + x 2 1 =(x− x1 ) 2 +2Given, x=5−2 6
Correct option isA98We know, x 2 + x 2 1 =(x− x1 ) 2 +2Given, x=5−2 6 .
Correct option isA98We know, x 2 + x 2 1 =(x− x1 ) 2 +2Given, x=5−2 6 .Then, x 1 =
1 = 5−2 6 1 = (5−2 6
6 1 = (5−2 6 )(5+2 6
6 1 = (5−2 6 )(5+2 65+26
6 1 = (5−2 6 )(5+2 65+26
6 1 = (5−2 6 )(5+2 65+26
6 1 = (5−2 6 )(5+2 65+26
6 1 = (5−2 6 )(5+2 65+26 = 5 2 −(2 6
2 −(2 6 ) 2 5+2 6
=
= 25−245+2
= 25−245+2 6 = 5+2 6 =5+2 6 .
Then, x
Then, x 2 + x 1 =(5−2
=(5−2 6 −(5+2 6 )) 2 +2
∴(−4 6 ) 2 +2=96+2=98.
∴(−4 6 ) 2 +2=96+2=98.Therefore, the required value is 98.
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