Maths-
General
Easy
Question
The set of values of a for which the equation
has three distinct real roots is
- (
)
- (−2, 2)
- ( −1, 1)
- None of these
)
The correct answer is: (−2, 2)
Coefficient of
is positive. f(x) has three distinct real roots. That is, f(−1) > 0 and f(1) < 0.
So we have ⇒ −1 + 3 + a > 0 and 1 − 3 + a < 0 ⇒ a > −2 and a < 2 ⇒ a ∈(−2, 2)
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