169=c2/169=c2

Solution for 169=c2/169=c2 equation:

169=c2/169=c2

We move all terms to the left:

169-(c2/169)=0

We add all the numbers together, and all the variables

-(+c2/169)+169=0

We get rid of parentheses

-c2/169+169=0

We multiply all the terms by the denominator


-c2+169*169=0

We add all the numbers together, and all the variables

-1c^2+28561=0

a = -1; b = 0; c = +28561;
Δ = b2-4ac
Δ = 02-4·(-1)·28561
Δ = 114244
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{114244}=338$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-338}{2*-1}=\frac{-338}{-2}
=+169
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+338}{2*-1}=\frac{338}{-2}
=-169
$