x^2-35000x+100000000=0

Solution for x^2-35000x+100000000=0 equation:

x^2-35000x+100000000=0

a = 1; b = -35000; c = +100000000;
Δ = b2-4ac
Δ = -350002-4·1·100000000
Δ = 825000000
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:

$\sqrt{\Delta}=\sqrt{825000000}=\sqrt{25000000*33}=\sqrt{25000000}*\sqrt{33}=5000\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35000)-5000\sqrt{33}}{2*1}=\frac{35000-5000\sqrt{33}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35000)+5000\sqrt{33}}{2*1}=\frac{35000+5000\sqrt{33}}{2}
$