Complex Numbers And Quadratic Equations question 770
Question: The roots of the quadratic equation $ 2x^{2}+3x+1=0 $ , are [IIT 1983]
Options:
A) Irrational
B) Rational
C) Imaginary
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ f(x)=2x^{2}+3x+1=0 $
$ \therefore x=\frac{-3\pm \sqrt{9-8}}{4}=\frac{-3\pm 1}{4} $ Hence roots are $ -\frac{1}{2},-1 $ (Rational).