(s-7)s=228

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Solution for (s-7)s=228 equation:



(s-7)s=228
We move all terms to the left:
(s-7)s-(228)=0
We multiply parentheses
s^2-7s-228=0
a = 1; b = -7; c = -228;
Δ = b2-4ac
Δ = -72-4·1·(-228)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-31}{2*1}=\frac{-24}{2} =-12 $
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+31}{2*1}=\frac{38}{2} =19 $

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