x^2=324/100

Solution for x^2=324/100 equation:

x^2=324/100

We move all terms to the left:

x^2-(324/100)=0

We add all the numbers together, and all the variables

x^2-(+324/100)=0

We get rid of parentheses

x^2-324/100=0

We multiply all the terms by the denominator


x^2*100-324=0

Wy multiply elements

100x^2-324=0

a = 100; b = 0; c = -324;
Δ = b2-4ac
Δ = 02-4·100·(-324)
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-360}{2*100}=\frac{-360}{200}
=-1+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+360}{2*100}=\frac{360}{200}
=1+4/5
$