Find the roots of 2x^{2}+x+4=0 quadratic equations, if they exist, by the method of completing the square ?

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Solution:

⇒ Given

$Find the roots of 2x^{2}+x+4=0 quadratic equations, if they exist, by the method of completing the square ?Chapter-4,Exercise-4.3,Math- Class 10,$

∴ a = 2, b = 1, c = 4

⇒From Discriminant Formula

$⇒From Discriminant Formula$

$\large =1^{2}-4\times 2\times 4$

$\large =1-32$

$\large \Rightarrow -31< 0$

⇒This Equation do not have real roots.