x2+30x-810000=0

Solution for x2+30x-810000=0 equation:

x2+30x-810000=0

We add all the numbers together, and all the variables

x^2+30x-810000=0

a = 1; b = 30; c = -810000;
Δ = b2-4ac
Δ = 302-4·1·(-810000)
Δ = 3240900
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:

$\sqrt{\Delta}=\sqrt{3240900}=\sqrt{900*3601}=\sqrt{900}*\sqrt{3601}=30\sqrt{3601}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30\sqrt{3601}}{2*1}=\frac{-30-30\sqrt{3601}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30\sqrt{3601}}{2*1}=\frac{-30+30\sqrt{3601}}{2}
$