Find the values of b for which the quadratic equation 4x2 + bx + 1 = 0 has equal roots.

This question was previously asked in
RRB Group D 2 Sept 2022 Shift 2 Official Paper
View all RRB Group D Papers >
  1. Only 4
  2. -8 and 8
  3. -4 and 4
  4. Only -4

Answer (Detailed Solution Below)

Option 3 : -4 and 4
Free
RRB Group D Full Test 1
3 Lakh Users
100 Questions 100 Marks 90 Mins

Detailed Solution

Download Solution PDF

concept used:

For equal roots in quadratic equation, the discriminant should be zero.

Calculations:

D = 0

i.e., (b² - 4ac)

= b² - 4(4)

= b² - 16

And 

b² - 16 = 0

So, b = -4 and 4

Hence, The Required value is - 4 and 4.

Latest RRB Group D Updates

Last updated on Jun 2, 2025

-> The RRB NTPC Admit Card 2025 has been released on 1st June 2025 on the official website.

-> The RRB Group D Exam Date will be soon announce on the official website. Candidates can check it through here about the exam schedule, admit card, shift timings, exam patten and many more.

-> A total of 1,08,22,423 applications have been received for the RRB Group D Exam 2025. 

-> The RRB Group D Recruitment 2025 Notification was released for 32438 vacancies of various level 1 posts like Assistant Pointsman, Track Maintainer (Grade-IV), Assistant, S&T, etc.

-> The minimum educational qualification for RRB Group D Recruitment (Level-1 posts) has been updated to have at least a 10th pass, ITI, or an equivalent qualification, or a National Apprenticeship Certificate (NAC) granted by the NCVT.

-> This is an excellent opportunity for 10th-pass candidates with ITI qualifications as they are eligible for these posts.

-> The selection of the candidates is based on the CBT, Physical Test, and Document Verification.

-> Prepare for the exam with RRB Group D Previous Year Papers.

Get Free Access Now
Hot Links: teen patti yas teen patti bonus teen patti go teen patti rich teen patti gold new version