c-1/5c=63.60

Solution for c-1/5c=63.60 equation:

c-1/5c=63.60

We move all terms to the left:

c-1/5c-(63.60)=0


Domain of the equation: 5c!=0

c!=0/5

c!=0

c∈R


We add all the numbers together, and all the variables

c-1/5c-(63.6)=0

We add all the numbers together, and all the variables

c-1/5c-63.6=0

We multiply all the terms by the denominator


c*5c-(63.6)*5c-1=0

We multiply parentheses

c*5c-318c-1=0

Wy multiply elements

5c^2-318c-1=0

a = 5; b = -318; c = -1;
Δ = b2-4ac
Δ = -3182-4·5·(-1)
Δ = 101144
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:

$\sqrt{\Delta}=\sqrt{101144}=\sqrt{4*25286}=\sqrt{4}*\sqrt{25286}=2\sqrt{25286}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-318)-2\sqrt{25286}}{2*5}=\frac{318-2\sqrt{25286}}{10}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-318)+2\sqrt{25286}}{2*5}=\frac{318+2\sqrt{25286}}{10}
$