25x^2-50x-11=0

Solution for 25x^2-50x-11=0 equation:

25x^2-50x-11=0

a = 25; b = -50; c = -11;
Δ = b2-4ac
Δ = -502-4·25·(-11)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-60}{2*25}=\frac{-10}{50}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+60}{2*25}=\frac{110}{50}
=2+1/5
$