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  4. The equation 2x2+3x+1=0 has an irrational root.

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Q. The equation $2x^2+3x+1=0$ has an irrational root.

IIT JEEIIT JEE 1983Complex Numbers and Quadratic Equations

Solution:

Given, $2x^2+3x+1=0$
Here, $D=(3)^2-4.2.1=1$ which is a perfect square.
$\therefore $ Roots are rational.
Hence, statement is false.