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0=-16f^2+6400
We move all terms to the left:
0-(-16f^2+6400)=0
We add all the numbers together, and all the variables
-(-16f^2+6400)=0
We get rid of parentheses
16f^2-6400=0
a = 16; b = 0; c = -6400;
Δ = b2-4ac
Δ = 02-4·16·(-6400)
Δ = 409600
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}$$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{409600}=640$$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-640}{2*16}=\frac{-640}{32} =-20 $$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+640}{2*16}=\frac{640}{32} =20 $
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