s+s+3/5s=91

Solution for s+s+3/5s=91 equation:

s+s+3/5s=91

We move all terms to the left:

s+s+3/5s-(91)=0


Domain of the equation: 5s!=0

s!=0/5

s!=0

s∈R


We add all the numbers together, and all the variables

2s+3/5s-91=0

We multiply all the terms by the denominator


2s*5s-91*5s+3=0

Wy multiply elements

10s^2-455s+3=0

a = 10; b = -455; c = +3;
Δ = b2-4ac
Δ = -4552-4·10·3
Δ = 206905
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-455)-\sqrt{206905}}{2*10}=\frac{455-\sqrt{206905}}{20}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-455)+\sqrt{206905}}{2*10}=\frac{455+\sqrt{206905}}{20}
$