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13.95x+11.95x^2=93.65
We move all terms to the left:
13.95x+11.95x^2-(93.65)=0
We add all the numbers together, and all the variables
11.95x^2+13.95x-93.65=0
a = 11.95; b = 13.95; c = -93.65;
Δ = b2-4ac
Δ = 13.952-4·11.95·(-93.65)
Δ = 4671.0725
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{-(13.95)-\sqrt{4671.0725}}{2*11.95}=\frac{-13.95-\sqrt{4671.0725}}{23.9} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13.95)+\sqrt{4671.0725}}{2*11.95}=\frac{-13.95+\sqrt{4671.0725}}{23.9} $
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