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f^2=3.333337
We move all terms to the left:
f^2-(3.333337)=0
We add all the numbers together, and all the variables
f^2-3.333337=0
a = 1; b = 0; c = -3.333337;
Δ = b2-4ac
Δ = 02-4·1·(-3.333337)
Δ = 13.333348
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{13.333348}}{2*1}=\frac{0-\sqrt{13.333348}}{2} =-\frac{\sqrt{}}{2} $$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{13.333348}}{2*1}=\frac{0+\sqrt{13.333348}}{2} =\frac{\sqrt{}}{2} $
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