c-3/20c=1326

Solution for c-3/20c=1326 equation:

c-3/20c=1326

We move all terms to the left:

c-3/20c-(1326)=0


Domain of the equation: 20c!=0

c!=0/20

c!=0

c∈R


We multiply all the terms by the denominator


c*20c-1326*20c-3=0

Wy multiply elements

20c^2-26520c-3=0

a = 20; b = -26520; c = -3;
Δ = b2-4ac
Δ = -265202-4·20·(-3)
Δ = 703310640
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:

$\sqrt{\Delta}=\sqrt{703310640}=\sqrt{16*43956915}=\sqrt{16}*\sqrt{43956915}=4\sqrt{43956915}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26520)-4\sqrt{43956915}}{2*20}=\frac{26520-4\sqrt{43956915}}{40}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26520)+4\sqrt{43956915}}{2*20}=\frac{26520+4\sqrt{43956915}}{40}
$