c2=4/225

Solution for c2=4/225 equation:

c2=4/225

We move all terms to the left:

c2-(4/225)=0

We add all the numbers together, and all the variables

c2-(+4/225)=0

We add all the numbers together, and all the variables

c^2-(+4/225)=0

We get rid of parentheses

c^2-4/225=0

We multiply all the terms by the denominator


c^2*225-4=0

Wy multiply elements

225c^2-4=0

a = 225; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·225·(-4)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*225}=\frac{-60}{450}
=-2/15
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*225}=\frac{60}{450}
=2/15
$