badge image

Enroll For Free Now & Improve Your Performance.

User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.

Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
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

11 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

11 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.

10 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Course Features

  • 728 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution

Course Features

  • 731 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details