Complex Numbers And Quadratic Equations question 559
Question: If $ \alpha $ and $ \beta $ are the roots of the equation $ x^{2}-4x+1=0 $ the value of $ {{\alpha }^{3}}+{{\beta }^{3}} $ is [MP PET 1994]
Options:
A) 76
B) 52
C) -52
D) -76
Show Answer
Answer:
Correct Answer: B
Solution:
$ {{\alpha }^{3}}+{{\beta }^{3}}={{(\alpha +\beta )}^{3}}-3\alpha \beta (\alpha +\beta ) $ $ ={{(4)}^{3}}-3\times 1(4)=52 $
BETA
