Question
Question: If a and b are roots of equation x<sup>2</sup> – 6x + a = 0 and satisfying relation 3a + 2b = 16 the...
If a and b are roots of equation x2 – 6x + a = 0 and satisfying relation 3a + 2b = 16 then the value of 'a' is
A
– 8
B
8
C
– 16
D
9
Answer
8
Explanation
Solution
a + b = 6
3a + 2b = 16
Solving 2a + 2b = 12
3a + 2b = 16
– – –
–a = –4
a = 4; b = 2 Ž ab = 2 Ž a = 4 × 2 = 8