X^2+0.00909x-0.0000909=0

Solution for X^2+0.00909x-0.0000909=0 equation:

X^2+0.00909X-0.0000909=0

We add all the numbers together, and all the variables

X^2+0.00909X-5-9.09E=0

We add all the numbers together, and all the variables

X^2+0.00909X-29.7091818207=0

a = 1; b = 0.00909; c = -29.7091818207;
Δ = b2-4ac
Δ = 0.009092-4·1·(-29.7091818207)
Δ = 118.836809911
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{-(0.00909)-\sqrt{118.836809911}}{2*1}=\frac{-0.00909-\sqrt{118.836809911}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.00909)+\sqrt{118.836809911}}{2*1}=\frac{-0.00909+\sqrt{118.836809911}}{2}
$