a^2=144/169

Solution for a^2=144/169 equation:

a^2=144/169

We move all terms to the left:

a^2-(144/169)=0

We add all the numbers together, and all the variables

a^2-(+144/169)=0

We get rid of parentheses

a^2-144/169=0

We multiply all the terms by the denominator


a^2*169-144=0

Wy multiply elements

169a^2-144=0

a = 169; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·169·(-144)
Δ = 97344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{97344}=312$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-312}{2*169}=\frac{-312}{338}
=-12/13
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+312}{2*169}=\frac{312}{338}
=12/13
$