25x^2-44x-4=0

Solution for 25x^2-44x-4=0 equation:

25x^2-44x-4=0

a = 25; b = -44; c = -4;
Δ = b2-4ac
Δ = -442-4·25·(-4)
Δ = 2336
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:

$\sqrt{\Delta}=\sqrt{2336}=\sqrt{16*146}=\sqrt{16}*\sqrt{146}=4\sqrt{146}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-4\sqrt{146}}{2*25}=\frac{44-4\sqrt{146}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+4\sqrt{146}}{2*25}=\frac{44+4\sqrt{146}}{50}
$