w2=4/24

Solution for w2=4/24 equation:

w2=4/24

We move all terms to the left:

w2-(4/24)=0

We add all the numbers together, and all the variables

w2-(+4/24)=0

We add all the numbers together, and all the variables

w^2-(+4/24)=0

We get rid of parentheses

w^2-4/24=0

We multiply all the terms by the denominator


w^2*24-4=0

Wy multiply elements

24w^2-4=0

a = 24; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·24·(-4)
Δ = 384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{384}=\sqrt{64*6}=\sqrt{64}*\sqrt{6}=8\sqrt{6}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{6}}{2*24}=\frac{0-8\sqrt{6}}{48}
=-\frac{8\sqrt{6}}{48}
=-\frac{\sqrt{6}}{6}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{6}}{2*24}=\frac{0+8\sqrt{6}}{48}
=\frac{8\sqrt{6}}{48}
=\frac{\sqrt{6}}{6}
$