2s-(11664/s)=0

Solution for 2s-(11664/s)=0 equation:

2s-(11664/s)=0


Domain of the equation: s)!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

2s-(+11664/s)=0

We get rid of parentheses

2s-11664/s=0

We multiply all the terms by the denominator


2s*s-11664=0

Wy multiply elements

2s^2-11664=0

a = 2; b = 0; c = -11664;
Δ = b2-4ac
Δ = 02-4·2·(-11664)
Δ = 93312
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{93312}=\sqrt{46656*2}=\sqrt{46656}*\sqrt{2}=216\sqrt{2}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216\sqrt{2}}{2*2}=\frac{0-216\sqrt{2}}{4}
=-\frac{216\sqrt{2}}{4}
=-54\sqrt{2}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216\sqrt{2}}{2*2}=\frac{0+216\sqrt{2}}{4}
=\frac{216\sqrt{2}}{4}
=54\sqrt{2}
$