The number of real roots of the equation $\mathrm{e}^{4 \mathrm{x}}-\mathrm{e}^{3 \mathrm{x}}-4 \mathrm{e}^{2 \mathrm{x}}-\mathrm{e}^{\mathrm{x}}+1=0$ is equal to $.....$

  • [JEE MAIN 2021]
  • A

    $7$

  • B

    $2$

  • C

    $3$

  • D

    $4$

Similar Questions

If $\alpha , \beta , \gamma$ are roots of equation $x^3 + qx -r = 0$ then the equation, whose roots are

$\left( {\beta \gamma  + \frac{1}{\alpha }} \right),\,\left( {\gamma \alpha  + \frac{1}{\beta }} \right),\,\left( {\alpha \beta  + \frac{1}{\gamma }} \right)$

lf $2 + 3i$ is one of the roots of the equation $2x^3 -9x^2 + kx- 13 = 0,$ $k \in R,$ then the real root of this equation

  • [JEE MAIN 2015]

If $a < 0$ then the inequality $a{x^2} - 2x + 4 > 0$ has the solution represented by

The real roots of the equation ${x^2} + 5|x| + \,\,4 = 0$ are

The number of real solutions of the equation $|x{|^2}$-$3|x| + 2 = 0$ are

  • [IIT 1989]