25x2-25x-5000=0

Solution for 25x2-25x-5000=0 equation:

25x^2-25x-5000=0

a = 25; b = -25; c = -5000;
Δ = b2-4ac
Δ = -252-4·25·(-5000)
Δ = 500625
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:

$\sqrt{\Delta}=\sqrt{500625}=\sqrt{5625*89}=\sqrt{5625}*\sqrt{89}=75\sqrt{89}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-75\sqrt{89}}{2*25}=\frac{25-75\sqrt{89}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+75\sqrt{89}}{2*25}=\frac{25+75\sqrt{89}}{50}
$