x^2-322x-336=0

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Solution for x^2-322x-336=0 equation:



x^2-322x-336=0
a = 1; b = -322; c = -336;
Δ = b2-4ac
Δ = -3222-4·1·(-336)
Δ = 105028
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{105028}=\sqrt{484*217}=\sqrt{484}*\sqrt{217}=22\sqrt{217}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-322)-22\sqrt{217}}{2*1}=\frac{322-22\sqrt{217}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-322)+22\sqrt{217}}{2*1}=\frac{322+22\sqrt{217}}{2} $

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