a^2+30a-4264=0

Solution for a^2+30a-4264=0 equation:

a^2+30a-4264=0

a = 1; b = 30; c = -4264;
Δ = b2-4ac
Δ = 302-4·1·(-4264)
Δ = 17956
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17956}=134$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-134}{2*1}=\frac{-164}{2}
=-82
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+134}{2*1}=\frac{104}{2}
=52
$