259,2=5e2

Solution for 259,2=5e2 equation:

259.2=5e^2

We move all terms to the left:

259.2-(5e^2)=0

a = -5; b = 0; c = +259.2;
Δ = b2-4ac
Δ = 02-4·(-5)·259.2
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*-5}=\frac{-72}{-10}
=7+1/5
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*-5}=\frac{72}{-10}
=-7+1/5
$