X^2-30x-10870=0

Solution for X^2-30x-10870=0 equation:

X^2-30X-10870=0

a = 1; b = -30; c = -10870;
Δ = b2-4ac
Δ = -302-4·1·(-10870)
Δ = 44380
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:

$\sqrt{\Delta}=\sqrt{44380}=\sqrt{4*11095}=\sqrt{4}*\sqrt{11095}=2\sqrt{11095}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{11095}}{2*1}=\frac{30-2\sqrt{11095}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{11095}}{2*1}=\frac{30+2\sqrt{11095}}{2}
$