w2+12=15.54

Solution for w2+12=15.54 equation:

w2+12=15.54

We move all terms to the left:

w2+12-(15.54)=0

We add all the numbers together, and all the variables

w^2-3.54=0

a = 1; b = 0; c = -3.54;
Δ = b2-4ac
Δ = 02-4·1·(-3.54)
Δ = 14.16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{14.16}}{2*1}=\frac{0-\sqrt{14.16}}{2}
=-\frac{\sqrt{}}{2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{14.16}}{2*1}=\frac{0+\sqrt{14.16}}{2}
=\frac{\sqrt{}}{2}
$