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0.4*2+16.3=f(2)
We move all terms to the left:
0.4*2+16.3-(f(2))=0
determiningTheFunctionDomain -f2+16.3+0.4*2=0
We add all the numbers together, and all the variables
-1f^2+17.1=0
a = -1; b = 0; c = +17.1;
Δ = b2-4ac
Δ = 02-4·(-1)·17.1
Δ = 68.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{68.4}}{2*-1}=\frac{0-\sqrt{68.4}}{-2} =-\frac{\sqrt{}}{-2} $$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{68.4}}{2*-1}=\frac{0+\sqrt{68.4}}{-2} =\frac{\sqrt{}}{-2} $
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