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-8-83x-6=3x^2
We move all terms to the left:
-8-83x-6-(3x^2)=0
determiningTheFunctionDomain -3x^2-83x-8-6=0
We add all the numbers together, and all the variables
-3x^2-83x-14=0
a = -3; b = -83; c = -14;
Δ = b2-4ac
Δ = -832-4·(-3)·(-14)
Δ = 6721
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{-(-83)-\sqrt{6721}}{2*-3}=\frac{83-\sqrt{6721}}{-6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-83)+\sqrt{6721}}{2*-3}=\frac{83+\sqrt{6721}}{-6} $
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