2a^2-43a+228=0

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Solution for 2a^2-43a+228=0 equation:



2a^2-43a+228=0
a = 2; b = -43; c = +228;
Δ = b2-4ac
Δ = -432-4·2·228
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-43)-5}{2*2}=\frac{38}{4} =9+1/2 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+5}{2*2}=\frac{48}{4} =12 $

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