Question

The set $A=\{x:x^4-x^3-x^2=0$ and $x\in N\}$ represent a ...X... . Here, $X$ refers to

• A. null set
• B. singleton set
• C. infinite set
• D. None of these

Answer 1

Answer: (A)

Given equation can be written as
$\Rightarrow x^2\left(x^2-x-1\right)=0$
$\Rightarrow x=0,\frac{1\pm \sqrt{5}}{2}$
$\therefore$ There is no natural value of $x$ which satisfies $x^4-x^3-x^2=0$