9=100/c^2

Solution for 9=100/c^2 equation:

9=100/c^2

We move all terms to the left:

9-(100/c^2)=0


Domain of the equation: c^2)!=0

c!=0/1

c!=0

c∈R


We get rid of parentheses

-100/c^2+9=0

We multiply all the terms by the denominator


9*c^2-100=0

We add all the numbers together, and all the variables

9c^2-100=0

a = 9; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·9·(-100)
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*9}=\frac{-60}{18}
=-3+1/3
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*9}=\frac{60}{18}
=3+1/3
$