y^2=4/100

Solution for y^2=4/100 equation:

y^2=4/100

We move all terms to the left:

y^2-(4/100)=0

We add all the numbers together, and all the variables

y^2-(+4/100)=0

We get rid of parentheses

y^2-4/100=0

We multiply all the terms by the denominator


y^2*100-4=0

Wy multiply elements

100y^2-4=0

a = 100; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·100·(-4)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*100}=\frac{-40}{200}
=-1/5
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*100}=\frac{40}{200}
=1/5
$