The equation${e^x} - x - 1 = 0$ has
The equation${e^x} - x - 1 = 0$ has
- A
Only one real root $x = 0$
- B
At least two real roots
- C
Exactly two real roots
- D
Infinitely many real roots
Similar Questions
The least integral value $\alpha $ of $x$ such that $\frac{{x - 5}}{{{x^2} + 5x - 14}} > 0$ , satisfies
The least integral value $\alpha $ of $x$ such that $\frac{{x - 5}}{{{x^2} + 5x - 14}} > 0$ , satisfies
- [JEE MAIN 2013]
If $|{x^2} - x - 6| = x + 2$, then the values of $x$ are
If $|{x^2} - x - 6| = x + 2$, then the values of $x$ are
The number of real roots of the equation ${e^{\sin x}} - {e^{ - \sin x}} - 4$ $ = 0$ are
The number of real roots of the equation ${e^{\sin x}} - {e^{ - \sin x}} - 4$ $ = 0$ are
- [IIT 1982]
The smallest value of ${x^2} - 3x + 3$ in the interval $( - 3,\,3/2)$ is
The smallest value of ${x^2} - 3x + 3$ in the interval $( - 3,\,3/2)$ is
Let $p$ and $q$ be two real numbers such that $p+q=$ 3 and $p^{4}+q^{4}=369$. Then $\left(\frac{1}{p}+\frac{1}{q}\right)^{-2}$ is equal to
Let $p$ and $q$ be two real numbers such that $p+q=$ 3 and $p^{4}+q^{4}=369$. Then $\left(\frac{1}{p}+\frac{1}{q}\right)^{-2}$ is equal to
- [JEE MAIN 2022]