x^2=16/144

Solution for x^2=16/144 equation:

x^2=16/144

We move all terms to the left:

x^2-(16/144)=0

We add all the numbers together, and all the variables

x^2-(+16/144)=0

We get rid of parentheses

x^2-16/144=0

We multiply all the terms by the denominator


x^2*144-16=0

Wy multiply elements

144x^2-16=0

a = 144; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·144·(-16)
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*144}=\frac{-96}{288}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*144}=\frac{96}{288}
=1/3
$