350=3.14r^2

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Solution for 350=3.14r^2 equation:



350=3.14r^2
We move all terms to the left:
350-(3.14r^2)=0
We get rid of parentheses
-3.14r^2+350=0
a = -3.14; b = 0; c = +350;
Δ = b2-4ac
Δ = 02-4·(-3.14)·350
Δ = 4396
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:
$\sqrt{\Delta}=\sqrt{4396}=\sqrt{4*1099}=\sqrt{4}*\sqrt{1099}=2\sqrt{1099}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1099}}{2*-3.14}=\frac{0-2\sqrt{1099}}{-6.28} =-\frac{2\sqrt{1099}}{-6.28} =-\frac{\sqrt{1099}}{-3.14} $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1099}}{2*-3.14}=\frac{0+2\sqrt{1099}}{-6.28} =\frac{2\sqrt{1099}}{-6.28} =\frac{\sqrt{1099}}{-3.14} $

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