y^2+13y-28=0

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Solution for y^2+13y-28=0 equation:



y^2+13y-28=0
a = 1; b = 13; c = -28;
Δ = b2-4ac
Δ = 132-4·1·(-28)
Δ = 281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-\sqrt{281}}{2*1}=\frac{-13-\sqrt{281}}{2} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{281}}{2*1}=\frac{-13+\sqrt{281}}{2} $

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