y^2+12y-640=0

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Solution for y^2+12y-640=0 equation:



y^2+12y-640=0
a = 1; b = 12; c = -640;
Δ = b2-4ac
Δ = 122-4·1·(-640)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-52}{2*1}=\frac{-64}{2} =-32 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+52}{2*1}=\frac{40}{2} =20 $

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