x^2+35x+28=0

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Solution for x^2+35x+28=0 equation:



x^2+35x+28=0
a = 1; b = 35; c = +28;
Δ = b2-4ac
Δ = 352-4·1·28
Δ = 1113
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-\sqrt{1113}}{2*1}=\frac{-35-\sqrt{1113}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{1113}}{2*1}=\frac{-35+\sqrt{1113}}{2} $

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