25x^2-100x+81=0

Solution for 25x^2-100x+81=0 equation:

25x^2-100x+81=0

a = 25; b = -100; c = +81;
Δ = b2-4ac
Δ = -1002-4·25·81
Δ = 1900
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:

$\sqrt{\Delta}=\sqrt{1900}=\sqrt{100*19}=\sqrt{100}*\sqrt{19}=10\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-10\sqrt{19}}{2*25}=\frac{100-10\sqrt{19}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+10\sqrt{19}}{2*25}=\frac{100+10\sqrt{19}}{50}
$