The number of real roots of the equation e⁴x - e³x - 4e²x - eˣ + 1 = 0 is equal to _ _ _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Evening shift · Q45

JEE Main 202127 Jul, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The number of real roots of the equation e⁴x

-

e³x

-

4e²x

-

e^x + 1 = 0 is equal to ______________.

Your answerType your answer. Integers and decimals are accepted.