12x2-13x-20=0

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Solution for 12x2-13x-20=0 equation:



12x^2-13x-20=0
a = 12; b = -13; c = -20;
Δ = b2-4ac
Δ = -132-4·12·(-20)
Δ = 1129
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{-(-13)-\sqrt{1129}}{2*12}=\frac{13-\sqrt{1129}}{24} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{1129}}{2*12}=\frac{13+\sqrt{1129}}{24} $

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