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 $ .