144x^2=4

Solution for 144x^2=4 equation:

144x^2=4

We move all terms to the left:

144x^2-(4)=0

a = 144; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·144·(-4)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*144}=\frac{-48}{288}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*144}=\frac{48}{288}
=1/6
$