x^2+0.05x-0.00005=0

Solution for x^2+0.05x-0.00005=0 equation:

x^2+0.05x-0.00005=0

We add all the numbers together, and all the variables

x^2+0.05x-5-5.0E=0

We add all the numbers together, and all the variables

x^2+0.05x-18.591409142295=0

a = 1; b = 0.05; c = -18.591409142295;
Δ = b2-4ac
Δ = 0.052-4·1·(-18.591409142295)
Δ = 74.36813656918
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.05)-\sqrt{74.36813656918}}{2*1}=\frac{-0.05-\sqrt{74.36813656918}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.05)+\sqrt{74.36813656918}}{2*1}=\frac{-0.05+\sqrt{74.36813656918}}{2}
$