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3.64-30.55x+57x^2=4x^2
We move all terms to the left:
3.64-30.55x+57x^2-(4x^2)=0
determiningTheFunctionDomain 57x^2-4x^2-30.55x+3.64=0
We add all the numbers together, and all the variables
53x^2-30.55x+3.64=0
a = 53; b = -30.55; c = +3.64;
Δ = b2-4ac
Δ = -30.552-4·53·3.64
Δ = 161.6225
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{-(-30.55)-\sqrt{161.6225}}{2*53}=\frac{30.55-\sqrt{161.6225}}{106} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30.55)+\sqrt{161.6225}}{2*53}=\frac{30.55+\sqrt{161.6225}}{106} $
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