12x2-33x-8=0

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Solution for 12x2-33x-8=0 equation:



12x^2-33x-8=0
a = 12; b = -33; c = -8;
Δ = b2-4ac
Δ = -332-4·12·(-8)
Δ = 1473
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{-(-33)-\sqrt{1473}}{2*12}=\frac{33-\sqrt{1473}}{24} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{1473}}{2*12}=\frac{33+\sqrt{1473}}{24} $

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