X^2+30x-564=0

Solution for X^2+30x-564=0 equation:

X^2+30X-564=0

a = 1; b = 30; c = -564;
Δ = b2-4ac
Δ = 302-4·1·(-564)
Δ = 3156
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:

$\sqrt{\Delta}=\sqrt{3156}=\sqrt{4*789}=\sqrt{4}*\sqrt{789}=2\sqrt{789}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{789}}{2*1}=\frac{-30-2\sqrt{789}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{789}}{2*1}=\frac{-30+2\sqrt{789}}{2}
$