3.14r^2=100.48r

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Solution for 3.14r^2=100.48r equation:



3.14r^2=100.48r
We move all terms to the left:
3.14r^2-(100.48r)=0
We add all the numbers together, and all the variables
3.14r^2-(+100.48r)=0
We get rid of parentheses
3.14r^2-100.48r=0
a = 3.14; b = -100.48; c = 0;
Δ = b2-4ac
Δ = -100.482-4·3.14·0
Δ = 10096.2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100.48)-\sqrt{10096.2304}}{2*3.14}=\frac{100.48-\sqrt{10096.2304}}{6.28} $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100.48)+\sqrt{10096.2304}}{2*3.14}=\frac{100.48+\sqrt{10096.2304}}{6.28} $

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