c2=64/225

Solution for c2=64/225 equation:

c2=64/225

We move all terms to the left:

c2-(64/225)=0

We add all the numbers together, and all the variables

c2-(+64/225)=0

We add all the numbers together, and all the variables

c^2-(+64/225)=0

We get rid of parentheses

c^2-64/225=0

We multiply all the terms by the denominator


c^2*225-64=0

Wy multiply elements

225c^2-64=0

a = 225; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·225·(-64)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*225}=\frac{-240}{450}
=-8/15
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*225}=\frac{240}{450}
=8/15
$