6x2-19x-18=0

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Solution for 6x2-19x-18=0 equation:



6x^2-19x-18=0
a = 6; b = -19; c = -18;
Δ = b2-4ac
Δ = -192-4·6·(-18)
Δ = 793
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{-(-19)-\sqrt{793}}{2*6}=\frac{19-\sqrt{793}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{793}}{2*6}=\frac{19+\sqrt{793}}{12} $

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