x^2-1300x+25000=0

Solution for x^2-1300x+25000=0 equation:

x^2-1300x+25000=0

a = 1; b = -1300; c = +25000;
Δ = b2-4ac
Δ = -13002-4·1·25000
Δ = 1590000
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:

$\sqrt{\Delta}=\sqrt{1590000}=\sqrt{10000*159}=\sqrt{10000}*\sqrt{159}=100\sqrt{159}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1300)-100\sqrt{159}}{2*1}=\frac{1300-100\sqrt{159}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1300)+100\sqrt{159}}{2*1}=\frac{1300+100\sqrt{159}}{2}
$