Theory of Equations 1 Question 43

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

(1983, 1M)

Analytical & Descriptive Questions

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Solution:

  1. Given, $2 x^{2}+3 x+1=0$

Here, $D=(3)^{2}-4 \cdot 2 \cdot 1=1$ which is a perfect square.

$\therefore$ Roots are rational.

Hence, statement is false.



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