25.6=w2

Solution for 25.6=w2 equation:

25.6=w2

We move all terms to the left:

25.6-(w2)=0

We add all the numbers together, and all the variables

-1w^2+25.6=0

a = -1; b = 0; c = +25.6;
Δ = b2-4ac
Δ = 02-4·(-1)·25.6
Δ = 102.4
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{102.4}}{2*-1}=\frac{0-\sqrt{102.4}}{-2}
=-\frac{\sqrt{}}{-2}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{102.4}}{2*-1}=\frac{0+\sqrt{102.4}}{-2}
=\frac{\sqrt{}}{-2}
$