x^2=15/100

Solution for x^2=15/100 equation:

x^2=15/100

We move all terms to the left:

x^2-(15/100)=0

We add all the numbers together, and all the variables

x^2-(+15/100)=0

We get rid of parentheses

x^2-15/100=0

We multiply all the terms by the denominator


x^2*100-15=0

Wy multiply elements

100x^2-15=0

a = 100; b = 0; c = -15;
Δ = b2-4ac
Δ = 02-4·100·(-15)
Δ = 6000
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:

$\sqrt{\Delta}=\sqrt{6000}=\sqrt{400*15}=\sqrt{400}*\sqrt{15}=20\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{15}}{2*100}=\frac{0-20\sqrt{15}}{200}
=-\frac{20\sqrt{15}}{200}
=-\frac{\sqrt{15}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{15}}{2*100}=\frac{0+20\sqrt{15}}{200}
=\frac{20\sqrt{15}}{200}
=\frac{\sqrt{15}}{10}
$