c2=64/222

Solution for c2=64/222 equation:

c2=64/222

We move all terms to the left:

c2-(64/222)=0

We add all the numbers together, and all the variables

c2-(+64/222)=0

We add all the numbers together, and all the variables

c^2-(+64/222)=0

We get rid of parentheses

c^2-64/222=0

We multiply all the terms by the denominator


c^2*222-64=0

Wy multiply elements

222c^2-64=0

a = 222; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·222·(-64)
Δ = 56832
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{56832}=\sqrt{256*222}=\sqrt{256}*\sqrt{222}=16\sqrt{222}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{222}}{2*222}=\frac{0-16\sqrt{222}}{444}
=-\frac{16\sqrt{222}}{444}
=-\frac{4\sqrt{222}}{111}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{222}}{2*222}=\frac{0+16\sqrt{222}}{444}
=\frac{16\sqrt{222}}{444}
=\frac{4\sqrt{222}}{111}
$