x^2+0.000018x-0.000027=0

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Solution for x^2+0.000018x-0.000027=0 equation:



x^2+0.000018x-0.000027=0
We add all the numbers together, and all the variables
x^2+0.000018x-5-2.7E=0
We add all the numbers together, and all the variables
x^2+0.000018x-12.339360936839=0
a = 1; b = 0.000018; c = -12.339360936839;
Δ = b2-4ac
Δ = 0.0000182-4·1·(-12.339360936839)
Δ = 49.35744374768
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{49.35744374768}}{2*1}=\frac{-9.8929072912263-\sqrt{49.35744374768}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.000018)+\sqrt{49.35744374768}}{2*1}=\frac{-9.8929072912263+\sqrt{49.35744374768}}{2} $

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