3s+72/s=30

Solution for 3s+72/s=30 equation:

3s+72/s=30

We move all terms to the left:

3s+72/s-(30)=0


Domain of the equation: s!=0

s∈R


We multiply all the terms by the denominator


3s*s-30*s+72=0

We add all the numbers together, and all the variables

-30s+3s*s+72=0

Wy multiply elements

3s^2-30s+72=0

a = 3; b = -30; c = +72;
Δ = b2-4ac
Δ = -302-4·3·72
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-6}{2*3}=\frac{24}{6}
=4
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+6}{2*3}=\frac{36}{6}
=6
$