x^2-4639.36x-6326.4=0

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Solution for x^2-4639.36x-6326.4=0 equation:



x^2-4639.36x-6326.4=0
a = 1; b = -4639.36; c = -6326.4;
Δ = b2-4ac
Δ = -4639.362-4·1·(-6326.4)
Δ = 21548966.8096
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{-(-4639.36)-\sqrt{21548966.8096}}{2*1}=\frac{4639.36-\sqrt{21548966.8096}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4639.36)+\sqrt{21548966.8096}}{2*1}=\frac{4639.36+\sqrt{21548966.8096}}{2} $

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