Complex Numbers And Quadratic Equations question 725
Question: Let one root of $ ax^{2}+bx+c=0 $ where $ a,b,c $ are integers be $ 3+\sqrt{5} $ , then the other root is [MNR 1982]
Options:
A) $ 3-\sqrt{5} $
B) 3
C) $ \sqrt{5} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
If one root of a quadratic equation with rational coefficients is irrational and of the form $ \alpha +\sqrt{\beta } $ , then the other root must also be irrational and of the form $ \alpha -\sqrt{\beta } $ .
BETA
