s^2-16s-154=0

Solution for s^2-16s-154=0 equation:

s^2-16s-154=0

a = 1; b = -16; c = -154;
Δ = b2-4ac
Δ = -162-4·1·(-154)
Δ = 872
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{872}=\sqrt{4*218}=\sqrt{4}*\sqrt{218}=2\sqrt{218}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-2\sqrt{218}}{2*1}=\frac{16-2\sqrt{218}}{2}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+2\sqrt{218}}{2*1}=\frac{16+2\sqrt{218}}{2}
$