-16x^2+50x-1=0

Solution for -16x^2+50x-1=0 equation:

-16x^2+50x-1=0

a = -16; b = 50; c = -1;
Δ = b2-4ac
Δ = 502-4·(-16)·(-1)
Δ = 2436
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:

$\sqrt{\Delta}=\sqrt{2436}=\sqrt{4*609}=\sqrt{4}*\sqrt{609}=2\sqrt{609}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-2\sqrt{609}}{2*-16}=\frac{-50-2\sqrt{609}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+2\sqrt{609}}{2*-16}=\frac{-50+2\sqrt{609}}{-32}
$