x^2=18/30

Solution for x^2=18/30 equation:

x^2=18/30

We move all terms to the left:

x^2-(18/30)=0

We add all the numbers together, and all the variables

x^2-(+18/30)=0

We get rid of parentheses

x^2-18/30=0

We multiply all the terms by the denominator


x^2*30-18=0

Wy multiply elements

30x^2-18=0

a = 30; b = 0; c = -18;
Δ = b2-4ac
Δ = 02-4·30·(-18)
Δ = 2160
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:

$\sqrt{\Delta}=\sqrt{2160}=\sqrt{144*15}=\sqrt{144}*\sqrt{15}=12\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{15}}{2*30}=\frac{0-12\sqrt{15}}{60}
=-\frac{12\sqrt{15}}{60}
=-\frac{\sqrt{15}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{15}}{2*30}=\frac{0+12\sqrt{15}}{60}
=\frac{12\sqrt{15}}{60}
=\frac{\sqrt{15}}{5}
$