15/625=s^2

Solution for 15/625=s^2 equation:

15/625=s^2

We move all terms to the left:

15/625-(s^2)=0

We add all the numbers together, and all the variables

-1s^2+15/625=0

We multiply all the terms by the denominator


-1s^2*625+15=0

Wy multiply elements

-625s^2+15=0

a = -625; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-625)·15
Δ = 37500
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:

$\sqrt{\Delta}=\sqrt{37500}=\sqrt{2500*15}=\sqrt{2500}*\sqrt{15}=50\sqrt{15}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-50\sqrt{15}}{2*-625}=\frac{0-50\sqrt{15}}{-1250}
=-\frac{50\sqrt{15}}{-1250}
=-\frac{\sqrt{15}}{-25}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+50\sqrt{15}}{2*-625}=\frac{0+50\sqrt{15}}{-1250}
=\frac{50\sqrt{15}}{-1250}
=\frac{\sqrt{15}}{-25}
$