Question
Question: The roots of (x –1)<sup>2</sup> –4 \|x –1\| + 3 = 0 form...
The roots of (x –1)2 –4 |x –1| + 3 = 0 form
A
In A.P.
B
In G.P.
C
In H.P.
D
None of these
Answer
In A.P.
Explanation
Solution
|x + 1|2 –4 |x –1| + 3 = 0
Put |x – 1| = t
t2 –4t + 3 = 0 Ž t = 1, 3
Ž |x –1| = 1, 3 Ž x = 0, 2, –2, 4
Hence the roots form an A.P.