c-54/c=5

Solution for c-54/c=5 equation:

c-54/c=5

We move all terms to the left:

c-54/c-(5)=0


Domain of the equation: c!=0

c∈R


We multiply all the terms by the denominator


c*c-5*c-54=0

We add all the numbers together, and all the variables

-5c+c*c-54=0

Wy multiply elements

c^2-5c-54=0

a = 1; b = -5; c = -54;
Δ = b2-4ac
Δ = -52-4·1·(-54)
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{241}}{2*1}=\frac{5-\sqrt{241}}{2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{241}}{2*1}=\frac{5+\sqrt{241}}{2}
$