12x2+12x-9=0

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Solution for 12x2+12x-9=0 equation:



12x^2+12x-9=0
a = 12; b = 12; c = -9;
Δ = b2-4ac
Δ = 122-4·12·(-9)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-24}{2*12}=\frac{-36}{24} =-1+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+24}{2*12}=\frac{12}{24} =1/2 $

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