Kundali IQHome › Exam notes › SSC CGL › Quadratic Equations
Quadratic Equations
Quantitative Aptitude · Maths Bookwise · Advanced Mathematics
Useful for: SSC CGL
BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Quadratic Equations
FOUNDATION
For x² − Sx + P = 0, the sum of roots is S and product P.
METHOD
Identify the quantities given, choose the exact relationship, calculate in the same unit, then check the answer against the question.
WORKED EXAMPLE 1
Find the larger root of x² − 17x + 72 = 0.
Find two numbers with sum 17, product 72: 8 and 9. Hence (x−8)(x−9)=0; larger root 9.
WORKED EXAMPLE 2
Find the larger root of x² − 33x + 266 = 0.
Find two numbers with sum 33, product 266: 19 and 14. Hence (x−19)(x−14)=0; larger root 19.
IMPORTANT EXCEPTION / COMMON TRAP
A quadratic can have equal roots or no real roots.
QUICK REVISION
For x² − Sx + P = 0, the sum of roots is S and product P.
SEE MORE: https://study.kundali-iq.com/ssc-maths/quadratic/
For complete timed maths practice, use SSC CGL Test Series → New Maths 100 Mixed Sets or Chapter-wise sets. These are independent original questions, not copied previous-year questions.
Practice MCQs
Find the larger root of x² − 17x + 72 = 0.
- 11
- 9
- 10
- 8
Read chapter notes · Similar questions
Show answer
Answer: (b) 9. Find two numbers with sum 17, product 72: 8 and 9. Hence (x−8)(x−9)=0; larger root 9.
Find the larger root of x² − 33x + 266 = 0.
- 18
- 20
- 19
- 21
Read chapter notes · Similar questions
Show answer
Answer: (c) 19. Find two numbers with sum 33, product 266: 19 and 14. Hence (x−19)(x−14)=0; larger root 19.
Find the larger root of x² − 32x + 231 = 0.
- 22
- 20
- 21
- 23
Read chapter notes · Similar questions
Show answer
Answer: (c) 21. Find two numbers with sum 32, product 231: 21 and 11. Hence (x−21)(x−11)=0; larger root 21.
Find the larger root of x² − 28x + 180 = 0.
- 19
- 18
- 17
- 20
Read chapter notes · Similar questions
Show answer
Answer: (b) 18. Find two numbers with sum 28, product 180: 18 and 10. Hence (x−18)(x−10)=0; larger root 18.
Which pair gives both roots of x² − 7x + 12 = 0
- 1 and 12
- 2 and 6
- −3 and −4
- 3 and 4
Read chapter notes · Similar questions
Show answer
Answer: (d) 3 and 4. x² − 7x + 12 = (x − 3)(x − 4); the roots are 3 and 4.
More topics in this chapter
Notes and questions are written by Kundali IQ for practice. They are not official papers; always check the latest official notification for the syllabus and pattern.