6x2+102x+432=0

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Solution for 6x2+102x+432=0 equation:



6x^2+102x+432=0
a = 6; b = 102; c = +432;
Δ = b2-4ac
Δ = 1022-4·6·432
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(102)-6}{2*6}=\frac{-108}{12} =-9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(102)+6}{2*6}=\frac{-96}{12} =-8 $

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