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50*90=3.14r^2
We move all terms to the left:
50*90-(3.14r^2)=0
We add all the numbers together, and all the variables
-(3.14r^2)+4500=0
We get rid of parentheses
-3.14r^2+4500=0
a = -3.14; b = 0; c = +4500;
Δ = b2-4ac
Δ = 02-4·(-3.14)·4500
Δ = 56520
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}$$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{56520}=\sqrt{36*1570}=\sqrt{36}*\sqrt{1570}=6\sqrt{1570}$$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{1570}}{2*-3.14}=\frac{0-6\sqrt{1570}}{-6.28} =-\frac{6\sqrt{1570}}{-6.28} =-\frac{\sqrt{1570}}{-1.0466666666667} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{1570}}{2*-3.14}=\frac{0+6\sqrt{1570}}{-6.28} =\frac{6\sqrt{1570}}{-6.28} =\frac{\sqrt{1570}}{-1.0466666666667} $
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