(5/8)s=50

Solution for (5/8)s=50 equation:

(5/8)s=50

We move all terms to the left:

(5/8)s-(50)=0


Domain of the equation: 8)s!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

(+5/8)s-50=0

We multiply parentheses

5s^2-50=0

a = 5; b = 0; c = -50;
Δ = b2-4ac
Δ = 02-4·5·(-50)
Δ = 1000
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:

$\sqrt{\Delta}=\sqrt{1000}=\sqrt{100*10}=\sqrt{100}*\sqrt{10}=10\sqrt{10}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{10}}{2*5}=\frac{0-10\sqrt{10}}{10}
=-\frac{10\sqrt{10}}{10}
=-\sqrt{10}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{10}}{2*5}=\frac{0+10\sqrt{10}}{10}
=\frac{10\sqrt{10}}{10}
=\sqrt{10}
$