-2E-08x2+0.0002x=Y

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Solution for -2E-08x2+0.0002x=Y equation:



-2-08E^2+0.0002E=
We move all terms to the left:
-2-08E^2+0.0002E-()=0
We add all the numbers together, and all the variables
-8E^2+0.0002E=0
a = -8; b = 0.0002; c = 0;
Δ = b2-4ac
Δ = 0.00022-4·(-8)·0
Δ = 4.0E-8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.0002)-\sqrt{4.0E-8}}{2*-8}=\frac{-0.0002-\sqrt{4.0E-8}}{-16} $
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0002)+\sqrt{4.0E-8}}{2*-8}=\frac{-0.0002+\sqrt{4.0E-8}}{-16} $

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