Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard VIII
Mathematics
Question
If
x
+
1
x
=
2
, what is the value of
x
2
+
1
x
2
?
3
5
4
2
A
4
B
2
C
3
D
5
Open in App
Solution
Verified by Toppr
Given,
x
+
1
x
=
2
.
We need to find value of
x
2
+
1
x
2
.
We know,
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
.
On squaring both the sides, we get,
(
x
+
1
x
)
2
=
2
2
⇒
x
2
+
1
x
2
+
2
(
x
)
(
1
x
)
=
4
⇒
x
2
+
1
x
2
+
2
=
4
.
Therefore, we get,
x
2
+
1
x
2
=
4
−
2
=
2
.
Was this answer helpful?
0
Similar Questions
Q1
If
x
+
1
x
=
2
, what is the value of
x
2
+
1
x
2
?
View Solution
Q2
The value of
−
1
2
−
x
3
−
x
2
4
−
x
3
5
−
…
…
.
∞
=
View Solution
Q3
If
x
=
2
−
√
3
, find the value of
x
2
+
1
x
2
and
x
2
−
1
x
2
View Solution
Q4
If f(x+1/x)=x²+1/x², then the value of f(3/2) is:
a) 5/4
b) 4/5
c) 1/4
d) -1/4
View Solution
Q5
If
x
=
√
3
+
√
2
√
3
−
√
2
find the value of
x
2
+
1
x
2
View Solution