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Vaibhav Mathur Grade: 12
        

Number of imaginary roots of (x+1)1/2+(x-1)1/2=1,is


(a) 0


(b) 1


(c)2


(d)4

7 years ago

Answers : (2)

Ramesh V
70 Points
										

on squaring both sides, we have


x+1+x-1+2(x2-1)1/2 =1


so, we have


2x + 2(x2-1)1/2=1


or 1-2x = 2(x2-1)1/2


on squaring both sides again we have


1+4x2 -4x = 4x2 -4


so , x = 5/4 so roots are real


no imaginery roots


option is A


 
7 years ago
Karthik Eyan
45 Points
										

Mr. Ramesh,


I have a doubt here,


I solved this q and got x=5/4 as the answer but as my teacher always asks me to substitute the value I got in the given equation and see whether it satisfies or not.


In this case x=5/4 does not satisfy the eqn.


So, there is no real root but 1 imaginary root.

6 years ago
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