x^2+13x+27=0

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Solution for x^2+13x+27=0 equation: 



x^2+13x+27=0

a = 1; b = 13; c = +27;
Δ = b2-4ac
Δ = 132-4·1·27
Δ = 61
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{-(13)-\sqrt{61}}{2*1}=\frac{-13-\sqrt{61}}{2}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{61}}{2*1}=\frac{-13+\sqrt{61}}{2}
$

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