X^2+0.00046x-0.0000046=0

Solution for X^2+0.00046x-0.0000046=0 equation:

X^2+0.00046X-0.0000046=0

We add all the numbers together, and all the variables

X^2+0.00046X-6-4.6E=0

We add all the numbers together, and all the variables

X^2+0.00046X-18.504096410912=0

a = 1; b = 0.00046; c = -18.504096410912;
Δ = b2-4ac
Δ = 0.000462-4·1·(-18.504096410912)
Δ = 74.016385855248
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{-(0.00046)-\sqrt{74.016385855248}}{2*1}=\frac{-0.00046-\sqrt{74.016385855248}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.00046)+\sqrt{74.016385855248}}{2*1}=\frac{-0.00046+\sqrt{74.016385855248}}{2}
$