y^2+24y=0

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Solution for y^2+24y=0 equation:



y^2+24y=0
a = 1; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·1·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*1}=\frac{-48}{2} =-24 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*1}=\frac{0}{2} =0 $

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