x^2=8/100

Solution for x^2=8/100 equation:

x^2=8/100

We move all terms to the left:

x^2-(8/100)=0

We add all the numbers together, and all the variables

x^2-(+8/100)=0

We get rid of parentheses

x^2-8/100=0

We multiply all the terms by the denominator


x^2*100-8=0

Wy multiply elements

100x^2-8=0

a = 100; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·100·(-8)
Δ = 3200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3200}=\sqrt{1600*2}=\sqrt{1600}*\sqrt{2}=40\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{2}}{2*100}=\frac{0-40\sqrt{2}}{200}
=-\frac{40\sqrt{2}}{200}
=-\frac{\sqrt{2}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{2}}{2*100}=\frac{0+40\sqrt{2}}{200}
=\frac{40\sqrt{2}}{200}
=\frac{\sqrt{2}}{5}
$