x*x/3=675

Solution for x*x/3=675 equation:

x*x/3=675

We move all terms to the left:

x*x/3-(675)=0

We multiply all the terms by the denominator


x*x-675*3=0

We add all the numbers together, and all the variables

x*x-2025=0

Wy multiply elements

x^2-2025=0

a = 1; b = 0; c = -2025;
Δ = b2-4ac
Δ = 02-4·1·(-2025)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90}{2*1}=\frac{-90}{2}
=-45
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90}{2*1}=\frac{90}{2}
=45
$