n^2+8n-84=0

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Solution for n^2+8n-84=0 equation: 



n^2+8n-84=0

a = 1; b = 8; c = -84;
Δ = b2-4ac
Δ = 82-4·1·(-84)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$


$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-20}{2*1}=\frac{-28}{2}
=-14
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+20}{2*1}=\frac{12}{2}
=6
$

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