(1/5)s+125=2225

Solution for (1/5)s+125=2225 equation:

(1/5)s+125=2225

We move all terms to the left:

(1/5)s+125-(2225)=0


Domain of the equation: 5)s!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

(+1/5)s+125-2225=0

We add all the numbers together, and all the variables

(+1/5)s-2100=0

We multiply parentheses

s^2-2100=0

a = 1; b = 0; c = -2100;
Δ = b2-4ac
Δ = 02-4·1·(-2100)
Δ = 8400
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:

$\sqrt{\Delta}=\sqrt{8400}=\sqrt{400*21}=\sqrt{400}*\sqrt{21}=20\sqrt{21}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{21}}{2*1}=\frac{0-20\sqrt{21}}{2}
=-\frac{20\sqrt{21}}{2}
=-10\sqrt{21}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{21}}{2*1}=\frac{0+20\sqrt{21}}{2}
=\frac{20\sqrt{21}}{2}
=10\sqrt{21}
$