600=3.14r^2

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Solution for 600=3.14r^2 equation:



600=3.14r^2
We move all terms to the left:
600-(3.14r^2)=0
We get rid of parentheses
-3.14r^2+600=0
a = -3.14; b = 0; c = +600;
Δ = b2-4ac
Δ = 02-4·(-3.14)·600
Δ = 7536
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{7536}=\sqrt{16*471}=\sqrt{16}*\sqrt{471}=4\sqrt{471}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{471}}{2*-3.14}=\frac{0-4\sqrt{471}}{-6.28} =-\frac{4\sqrt{471}}{-6.28} =-\frac{2\sqrt{471}}{-3.14} $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{471}}{2*-3.14}=\frac{0+4\sqrt{471}}{-6.28} =\frac{4\sqrt{471}}{-6.28} =\frac{2\sqrt{471}}{-3.14} $

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