if x=√7-4√3 then [x^2+1/x]^2=
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Answer:
Correct option is
C
194
Given,
x=7−4
3
∴
x
1
=
(7−4
3
)
1
×
7+4
3
7+4
3
=
(49−48)
7+4
3
=7+4
3
Now,
x+
x
1
=(7−4
3
)+(7+4
3
)
=14
=>(x+
x
1
)
2
=(14)
2
Using (a+b)
2
=a
2
+b
2
+2ab we get,
=>x
2
+
x
2
1
+2(x)(
x
1
)=196
=>x
2
+
x
2
1
=196−2
∴x
2
+
x
2
1
=194
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