F(r)=3.14r2

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Solution for F(r)=3.14r2 equation:



(F)=3.14F^2
We move all terms to the left:
(F)-(3.14F^2)=0
We get rid of parentheses
-3.14F^2+F=0
a = -3.14; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-3.14)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-3.14}=\frac{-2}{-6.28} =1/3.14 $
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-3.14}=\frac{0}{-6.28} =0 $

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