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7000=3.1465r^2
We move all terms to the left:
7000-(3.1465r^2)=0
We get rid of parentheses
-3.1465r^2+7000=0
a = -3.1465; b = 0; c = +7000;
Δ = b2-4ac
Δ = 02-4·(-3.1465)·7000
Δ = 88102
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}$$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{88102}=\sqrt{49*1798}=\sqrt{49}*\sqrt{1798}=7\sqrt{1798}$$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-7\sqrt{1798}}{2*-3.1465}=\frac{0-7\sqrt{1798}}{-6.293} =-\frac{7\sqrt{1798}}{-6.293} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+7\sqrt{1798}}{2*-3.1465}=\frac{0+7\sqrt{1798}}{-6.293} =\frac{7\sqrt{1798}}{-6.293} $
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