c^2=169/225

Solution for c^2=169/225 equation:

c^2=169/225

We move all terms to the left:

c^2-(169/225)=0

We add all the numbers together, and all the variables

c^2-(+169/225)=0

We get rid of parentheses

c^2-169/225=0

We multiply all the terms by the denominator


c^2*225-169=0

Wy multiply elements

225c^2-169=0

a = 225; b = 0; c = -169;
Δ = b2-4ac
Δ = 02-4·225·(-169)
Δ = 152100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{152100}=390$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-390}{2*225}=\frac{-390}{450}
=-13/15
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+390}{2*225}=\frac{390}{450}
=13/15
$