3s+72/s=30

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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 $

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