3x^2-36x-192=0

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Solution for 3x^2-36x-192=0 equation:



3x^2-36x-192=0
a = 3; b = -36; c = -192;
Δ = b2-4ac
Δ = -362-4·3·(-192)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-60}{2*3}=\frac{-24}{6} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+60}{2*3}=\frac{96}{6} =16 $

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