The number of real solutions of the equation e⁴ˣ + 4e³ˣ - 58e²ˣ + 4eˣ + 1 = 0 is _ _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jun, Morning shift · Q48

JEE Main 202228 Jun, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The number of real solutions of the equation

{e^{4x}} + 4{e^{3x}} - 58{e^{2x}} + 4{e^x} + 1 = 0

is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 28 Jun, Morning shift · Q48

JEE Main 202228 Jun, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The number of real solutions of the equation

{e^{4x}} + 4{e^{3x}} - 58{e^{2x}} + 4{e^x} + 1 = 0

is ___________.

Your answerType your answer. Integers and decimals are accepted.