603=62.8r+6.28*r2

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Solution for 603=62.8r+6.28*r2 equation:



603=62.8r+6.28r^2
We move all terms to the left:
603-(62.8r+6.28r^2)=0
We get rid of parentheses
-6.28r^2-62.8r+603=0
a = -6.28; b = -62.8; c = +603;
Δ = b2-4ac
Δ = -62.82-4·(-6.28)·603
Δ = 19091.2
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{-(-62.8)-\sqrt{19091.2}}{2*-6.28}=\frac{62.8-\sqrt{19091.2}}{-12.56} $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-62.8)+\sqrt{19091.2}}{2*-6.28}=\frac{62.8+\sqrt{19091.2}}{-12.56} $

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