Sum

Find the roots of the quadratic equation 2x^{2} + x + 4 = 0

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#### Solution

2x^{2} + x + 4 = 0

`\Rightarrow x^{2}+\frac{x}{2}+2=0`

`"i.e " x^2+2 xx x xx 1/4+(1/4)^2-(1/4)^2+2=0`

`=>(x+1/4)^2-1/16+2=0`

`=>(x+1/4)^2+31/16=0`

`"i.e" (x+1/4)^2=-31/16`

This is not possible as the square of a real number can not be negative.

Concept: Solutions of Quadratic Equations by Completing the Square

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