x^2+0.000018x-0.000009=0

Solution for x^2+0.000018x-0.000009=0 equation:

x^2+0.000018x-0.000009=0

We add all the numbers together, and all the variables

x^2+0.000018x-6-9.0E=0

We add all the numbers together, and all the variables

x^2+0.000018x-30.4645364561=0

a = 1; b = 0.000018; c = -30.4645364561;
Δ = b2-4ac
Δ = 0.0000182-4·1·(-30.4645364561)
Δ = 121.858145825
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{-(0.000018)-\sqrt{121.858145825}}{2*1}=\frac{-9.89290729123-\sqrt{121.858145825}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.000018)+\sqrt{121.858145825}}{2*1}=\frac{-9.89290729123+\sqrt{121.858145825}}{2}
$