x^2+4x+0.5=0

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Solution for x^2+4x+0.5=0 equation: 



x^2+4x+0.5=0

a = 1; b = 4; c = +0.5;
Δ = b2-4ac
Δ = 42-4·1·0.5
Δ = 14
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-\sqrt{14}}{2*1}=\frac{-4-\sqrt{14}}{2}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+\sqrt{14}}{2*1}=\frac{-4+\sqrt{14}}{2}
$

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