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