240.25=r2

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Solution for 240.25=r2 equation:



240.25=r2
We move all terms to the left:
240.25-(r2)=0
We add all the numbers together, and all the variables
-1r^2+240.25=0
a = -1; b = 0; c = +240.25;
Δ = b2-4ac
Δ = 02-4·(-1)·240.25
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-31}{2*-1}=\frac{-31}{-2} =15+1/2 $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+31}{2*-1}=\frac{31}{-2} =-15+1/2 $

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