Question : If $a^{2}+1=a$, the value of $a^{3}$ is:
Option 1: 0
Option 2: 1
Option 3: –1
Option 4: 2
Answer (1)
20th Jan, 2024
Correct Answer: –1
Solution :
Given:
$a^{2}+1=a$
⇒ $a^{2}-a=-1$
⇒ $a(a-1)=-1$
Now, $a-1=a^2$
⇒ $a\times (a-1)=a×a^2$
⇒ $a^3=-1$
Hence, the correct answer is –1.
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