If a + b = 5 and ab = 6, then find 3(a2 + b2).

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
View all SSC CGL Papers >
  1. 39
  2. 48
  3. 26
  4. 13

Answer (Detailed Solution Below)

Option 1 : 39
vigyan-express
Free
PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
3.6 Lakh Users
25 Questions 50 Marks 10 Mins

Detailed Solution

Download Solution PDF

Given:

a + b = 5 and ab = 6

Concept used:

a2 + b2 = (a + b)2 - 2ab

Calculation:

3(a2 + b2)

⇒ 3{(a + b)2 - 2ab}

⇒ 3{52 - 2 × 6}

⇒ 39

∴ The required value is 39.

Latest SSC CGL Updates

Last updated on Jun 13, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

More Algebra Questions

Get Free Access Now
Hot Links: teen patti king teen patti all games teen patti circle teen patti star login teen patti real