jee-main 2020 Q51

jee-main · India · session1_09jan_shift1 Solving quadratics and applications Counting solutions or configurations satisfying a quadratic system

The number of real roots of the equation, $e ^ { 4 x } + e ^ { 3 x } - 4 e ^ { 2 x } + e ^ { x } + 1 = 0$ is:
(1) 1
(2) 3
(3) 2
(4) 4

The number of real roots of the equation, $e ^ { 4 x } + e ^ { 3 x } - 4 e ^ { 2 x } + e ^ { x } + 1 = 0$ is:\\
(1) 1\\
(2) 3\\
(3) 2\\
(4) 4