Question
Question: If b \> a, then the equation (x – a) (x – b) = 1 has –...
If b > a, then the equation (x – a) (x – b) = 1 has –
A
Both roots in [a, b]
B
Both roots in (–, a)
C
Both roots in (b, + )
D
One root in (–,a) and the other in (b, +)
Answer
One root in (–,a) and the other in (b, +)
Explanation
Solution
(x – a) (x – b) – 1 = 0, b > a
f(x) = (x–a) (x – b) – 1 ; f(1) = – 1 ; f(2) = – 1