4/3x^2=192

Solution for 4/3x^2=192 equation:

4/3x^2=192

We move all terms to the left:

4/3x^2-(192)=0


Domain of the equation: 3x^2!=0

x^2!=0/3

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-192*3x^2+4=0

Wy multiply elements

-576x^2+4=0

a = -576; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-576)·4
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*-576}=\frac{-96}{-1152}
=1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-576}=\frac{96}{-1152}
=-1/12
$