6a^2-7a-108=0

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Solution for 6a^2-7a-108=0 equation:



6a^2-7a-108=0
a = 6; b = -7; c = -108;
Δ = b2-4ac
Δ = -72-4·6·(-108)
Δ = 2641
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{2641}}{2*6}=\frac{7-\sqrt{2641}}{12} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{2641}}{2*6}=\frac{7+\sqrt{2641}}{12} $

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