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12x^2+9x-2=0
a = 12; b = 9; c = -2;
Δ = b2-4ac
Δ = 92-4·12·(-2)
Δ = 177
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{-(9)-\sqrt{177}}{2*12}=\frac{-9-\sqrt{177}}{24} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{177}}{2*12}=\frac{-9+\sqrt{177}}{24} $
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