# Find the roots of the quadratic equation 2x^2 + x + 4 = 0 - Mathematics

Sum

Find the roots of the quadratic equation 2x2 + x + 4 = 0

#### Solution

2x2 + 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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