X^2+30x-380=0

Solution for X^2+30x-380=0 equation:

X^2+30X-380=0

a = 1; b = 30; c = -380;
Δ = b2-4ac
Δ = 302-4·1·(-380)
Δ = 2420
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2420}=\sqrt{484*5}=\sqrt{484}*\sqrt{5}=22\sqrt{5}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-22\sqrt{5}}{2*1}=\frac{-30-22\sqrt{5}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+22\sqrt{5}}{2*1}=\frac{-30+22\sqrt{5}}{2}
$