x*x/3=300

Solution for x*x/3=300 equation:

x*x/3=300

We move all terms to the left:

x*x/3-(300)=0

We multiply all the terms by the denominator


x*x-300*3=0

We add all the numbers together, and all the variables

x*x-900=0

Wy multiply elements

x^2-900=0

a = 1; b = 0; c = -900;
Δ = b2-4ac
Δ = 02-4·1·(-900)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*1}=\frac{-60}{2}
=-30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*1}=\frac{60}{2}
=30
$