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Number of imaginary roots of (x+1) 1/2 +(x-1) 1/2 =1,is (a) 0 (b) 1 (c)2 (d)4

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


(a) 0


(b) 1


(c)2


(d)4

Grade:12

2 Answers

Ramesh V
70 Points
14 years ago

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

 
Karthik Eyan
45 Points
13 years ago

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.

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