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).