(s*s)+(25*s)=1250

Solution for (s*s)+(25*s)=1250 equation:

(s*s)+(25*s)=1250

We move all terms to the left:

(s*s)+(25*s)-(1250)=0

We add all the numbers together, and all the variables

(+s*s)+(+25s)-1250=0

We get rid of parentheses

s*s+25s-1250=0

We add all the numbers together, and all the variables

25s+s*s-1250=0

Wy multiply elements

s^2+25s-1250=0

a = 1; b = 25; c = -1250;
Δ = b2-4ac
Δ = 252-4·1·(-1250)
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-75}{2*1}=\frac{-100}{2}
=-50
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+75}{2*1}=\frac{50}{2}
=25
$