56x^2+16x-1=0

Solution for 56x^2+16x-1=0 equation:

56x^2+16x-1=0

a = 56; b = 16; c = -1;
Δ = b2-4ac
Δ = 162-4·56·(-1)
Δ = 480
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:

$\sqrt{\Delta}=\sqrt{480}=\sqrt{16*30}=\sqrt{16}*\sqrt{30}=4\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{30}}{2*56}=\frac{-16-4\sqrt{30}}{112}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{30}}{2*56}=\frac{-16+4\sqrt{30}}{112}
$