w^2=16/25

Solution for w^2=16/25 equation:

w^2=16/25

We move all terms to the left:

w^2-(16/25)=0

We add all the numbers together, and all the variables

w^2-(+16/25)=0

We get rid of parentheses

w^2-16/25=0

We multiply all the terms by the denominator


w^2*25-16=0

Wy multiply elements

25w^2-16=0

a = 25; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·25·(-16)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*25}=\frac{-40}{50}
=-4/5
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*25}=\frac{40}{50}
=4/5
$