Quantitative Aptitude Ques 1136

Question: If $ x^{2}+2=2x, $ then the value of $ x^{4}-x^{3}+x^{2}+2 $ is

Options:

A) $ 0 $

B) $ 1 $

C) $ -1 $

D) $ \sqrt{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given, $ x^{2}+2=2x $

$ \Rightarrow $ $ x^{2}-2x+2=0 $ Now, Hence, $ x^{4}-x^{3}+x^{2}+2 $ can be represented as $ =(x^{2}-2x+2)(x^{2}+x+1)=0 $