If x = (7+4√3), then value of x square +1/x square is
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1
Answer:
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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