X^2-30x-18000=0

Solution for X^2-30x-18000=0 equation:

X^2-30X-18000=0

a = 1; b = -30; c = -18000;
Δ = b2-4ac
Δ = -302-4·1·(-18000)
Δ = 72900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{72900}=270$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-270}{2*1}=\frac{-240}{2}
=-120
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+270}{2*1}=\frac{300}{2}
=150
$