x^2+783.377x-302778.165=0

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Solution for x^2+783.377x-302778.165=0 equation:



x^2+783.377x-302778.165=0
a = 1; b = 783.377; c = -302778.165;
Δ = b2-4ac
Δ = 783.3772-4·1·(-302778.165)
Δ = 1824792.18413
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{-(783.377)-\sqrt{1824792.18413}}{2*1}=\frac{-783.377-\sqrt{1824792.18413}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(783.377)+\sqrt{1824792.18413}}{2*1}=\frac{-783.377+\sqrt{1824792.18413}}{2} $

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