540=3/5x2

Solution for 540=3/5x2 equation:

540=3/5x^2

We move all terms to the left:

540-(3/5x^2)=0


Domain of the equation: 5x^2)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

-3/5x^2+540=0

We multiply all the terms by the denominator


540*5x^2-3=0

Wy multiply elements

2700x^2-3=0

a = 2700; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·2700·(-3)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*2700}=\frac{-180}{5400}
=-1/30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*2700}=\frac{180}{5400}
=1/30
$