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

The number of real roots of the equation (x−1)2+(x−2)2+(x−3)2=0 is

A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 0
We have,
(x1)2+(x2)2+(x3)2=0
[x22x+1]+[x24x+4]+[x26x+9]=0
3x212x+14=0
Now,
B24AC
=1444(3)(14)
=144168
=24.

Hence, B24AC<0
Therefore, the roots are imaginary.

Hence, there are no real roots.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE using Quadratic Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon