c2=169/144

Solution for c2=169/144 equation:

c2=169/144

We move all terms to the left:

c2-(169/144)=0

We add all the numbers together, and all the variables

c2-(+169/144)=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

c^2-169/144=0

We multiply all the terms by the denominator


c^2*144-169=0

Wy multiply elements

144c^2-169=0

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

$\sqrt{\Delta}=\sqrt{97344}=312$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-312}{2*144}=\frac{-312}{288}
=-1+1/12
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+312}{2*144}=\frac{312}{288}
=1+1/12
$