MCQ
સમીકરણ $\mathrm{e}^{4 \mathrm{x}}-\mathrm{e}^{3 \mathrm{x}}-4 \mathrm{e}^{2 \mathrm{x}}-\mathrm{e}^{\mathrm{x}}+1=0$ ના વાસ્તવિકબીજ ની સંખ્યા મેળવો.
- A$7$
- B$2$
- C$3$
- D$4$
$\Rightarrow t^{2}-t-4-\frac{1}{t}+\frac{1}{t^{2}}=0$
$\Rightarrow \alpha^{2}-\alpha-6=0, \alpha=t+\frac{1}{t} \geq 2$
$\Rightarrow \alpha=3,-2(\text { reject })$
$\Rightarrow t+\frac{1}{t}=3$
$\Rightarrow$ The number of real roots $=2$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.