x^2-8x-1584=0

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Solution for x^2-8x-1584=0 equation:



x^2-8x-1584=0
a = 1; b = -8; c = -1584;
Δ = b2-4ac
Δ = -82-4·1·(-1584)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-80}{2*1}=\frac{-72}{2} =-36 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+80}{2*1}=\frac{88}{2} =44 $

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