x2 + 1/x2 is NOT equal to (A) (x + 1/x)2- 2 (B) (x - 1/x)2 + 2 (C) (x + 1/x)2 (D) (x4+1)/x2
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1
Answer:
Correct option is A)
Given, x+
x
1
=2.
On squaring both side, we get,
(x+
x
1
)
2
=4.
We know, (a+b)
2
=a
2
+b
2
+2ab.
⟹ x
2
+(
x
1
)
2
+2(x)(
x
1
)=4
⟹ x
2
+
x
2
1
=4−2=2.
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