16x^2-8x-94=0

Solution for 16x^2-8x-94=0 equation:

16x^2-8x-94=0

a = 16; b = -8; c = -94;
Δ = b2-4ac
Δ = -82-4·16·(-94)
Δ = 6080
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:

$\sqrt{\Delta}=\sqrt{6080}=\sqrt{64*95}=\sqrt{64}*\sqrt{95}=8\sqrt{95}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8\sqrt{95}}{2*16}=\frac{8-8\sqrt{95}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8\sqrt{95}}{2*16}=\frac{8+8\sqrt{95}}{32}
$