Question
If 15^ and 30^ are the roots of the equation x^2+p x+q=0, then p q=
BITSAT
Mathematics
Quadratic Equation
2024
BITSAT 2024 (Memory Based Paper 1)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 6 3 +10 3
- B. 10-6 3 3
- C. 10+6 3 3
- D. 10-6 3 3
Answer
B. 10-6 3 3
Step-by-step solution
15^ = (45-30)^ = 3 -1 3 +1 15^ + 30^ =-p p= -4 3 ( 3 +1) q= 15^ 30^ = 3 -1 3 ( 3 +1) q= 3 -1 3 ( 3 +1) p q= -4 3 ( 3 +1) ( 3 -1) 3 ( 3 +1) p q= -4( 3 -1) 3( 3 +1)^2 = 10-6 3 3 p q= 10-6 3 3 Option (2) is correct.
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