Complex Numbers And Quadratic Equations question 591
Question: What is the sum of the squares of roots of $ x^{2}-3x+1=0 $ [Karnataka CET 1998]
Options:
A) 5
B) 7
C) 9
D) 10
Show Answer
Answer:
Correct Answer: B
Solution:
Let roots are $ \alpha $ and $ \beta $ . Hence, $ {{\alpha }^{2}}+{{\beta }^{2}}={{(\alpha +\beta )}^{2}}-2\alpha \beta ={{(3)}^{2}}-2\times 1=7 $ .