144/169=r2

Solution for 144/169=r2 equation:

144/169=r2

We move all terms to the left:

144/169-(r2)=0

We add all the numbers together, and all the variables

-1r^2+144/169=0

We multiply all the terms by the denominator


-1r^2*169+144=0

Wy multiply elements

-169r^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:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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