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f(2)=0.016(2)^(2)+0.124(2)+0.787
We move all terms to the left:
f(2)-(0.016(2)^(2)+0.124(2)+0.787)=0
We add all the numbers together, and all the variables
f^2-0.91146244=0
a = 1; b = 0; c = -0.91146244;
Δ = b2-4ac
Δ = 02-4·1·(-0.91146244)
Δ = 3.64584976
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{3.64584976}}{2*1}=\frac{0-\sqrt{3.64584976}}{2} =-\frac{\sqrt{}}{2} $$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.64584976}}{2*1}=\frac{0+\sqrt{3.64584976}}{2} =\frac{\sqrt{}}{2} $
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