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84.78=(r)(2)(3.14)
We move all terms to the left:
84.78-((r)(2)(3.14))=0
We calculate terms in parentheses: -(r2(3.14)), so:We get rid of parentheses
r2(3.14)
We multiply parentheses
3.14r^2
Back to the equation:
-(3.14r^2)
-3.14r^2+84.78=0
a = -3.14; b = 0; c = +84.78;
Δ = b2-4ac
Δ = 02-4·(-3.14)·84.78
Δ = 1064.8368
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{-(0)-\sqrt{1064.8368}}{2*-3.14}=\frac{0-\sqrt{1064.8368}}{-6.28} =-\frac{\sqrt{}}{-6.28} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1064.8368}}{2*-3.14}=\frac{0+\sqrt{1064.8368}}{-6.28} =\frac{\sqrt{}}{-6.28} $
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