Question

Find the roots of the following quadratic (if they exist) by the method of completing the square.
2x²+x+4=0

Answer 1

$\text{Given equation is}$

$2x^2+x+4=0$

$\text{Here, a=2, b=1, c=4}$

$\text{Discriminant=}b^2-4\,a\,c$

$\text{Discriminant=}1^2-4(2)(4)$

$\text{Discriminant=}-31<0$

$\therefore\text{The roots of the equation}$

$\text{are not real}$

$\textbf{Hence we cannot find roots of the}$

$\textbf{equation by completing square method}$

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