-0.680+0.0626x-0.00054x^2=0

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Solution for -0.680+0.0626x-0.00054x^2=0 equation: 



-0.680+0.0626x-0.00054x^2=0

We add all the numbers together, and all the variables

-0.00054x^2+0.0626x-0.68=0

a = -0.00054; b = 0.0626; c = -0.68;
Δ = b2-4ac
Δ = 0.06262-4·(-0.00054)·(-0.68)
Δ = 0.00244996
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{-(0.0626)-\sqrt{0.00244996}}{2*-0.00054}=\frac{-0.0626-\sqrt{0.00244996}}{-0.00108}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0626)+\sqrt{0.00244996}}{2*-0.00054}=\frac{-0.0626+\sqrt{0.00244996}}{-0.00108}
$

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