CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If x+1x=2, then x2+1x2 is equal to :

A
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 2
Given, x+1x=2.

On squaring both side, we get,
(x+1x)2=4.

We know, (a+b)2=a2+b2+2ab.

x2+(1x)2+2(x)(1x)=4
x2+1x2=42=2.

Therefore, option A is correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
(a-b)^2 Expansion and Visualisation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon