if x+1/x=2,find x²+1/x²
Answers
Answered by
1
Answer:
2
Step-by-step explanation:
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.
Answered by
1
Answer:
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.
Step-by-step explanation:
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