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220=5000r^2
We move all terms to the left:
220-(5000r^2)=0
a = -5000; b = 0; c = +220;
Δ = b2-4ac
Δ = 02-4·(-5000)·220
Δ = 4400000
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}$$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4400000}=\sqrt{40000*110}=\sqrt{40000}*\sqrt{110}=200\sqrt{110}$$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{110}}{2*-5000}=\frac{0-200\sqrt{110}}{-10000} =-\frac{200\sqrt{110}}{-10000} =-\frac{\sqrt{110}}{-50} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{110}}{2*-5000}=\frac{0+200\sqrt{110}}{-10000} =\frac{200\sqrt{110}}{-10000} =\frac{\sqrt{110}}{-50} $
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