V(r)=143.14r2

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Solution for V(r)=143.14r2 equation:



(V)=143.14V^2
We move all terms to the left:
(V)-(143.14V^2)=0
We get rid of parentheses
-143.14V^2+V=0
a = -143.14; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-143.14)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$V_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$V_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$V_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-143.14}=\frac{-2}{-286.28} =1/143.14 $
$V_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-143.14}=\frac{0}{-286.28} =0 $

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