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18000=28000(x)^2
We move all terms to the left:
18000-(28000(x)^2)=0
determiningTheFunctionDomain -28000x^2+18000=0
a = -28000; b = 0; c = +18000;
Δ = b2-4ac
Δ = 02-4·(-28000)·18000
Δ = 2016000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2016000000}=\sqrt{144000000*14}=\sqrt{144000000}*\sqrt{14}=12000\sqrt{14}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12000\sqrt{14}}{2*-28000}=\frac{0-12000\sqrt{14}}{-56000} =-\frac{12000\sqrt{14}}{-56000} =-\frac{3\sqrt{14}}{-14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12000\sqrt{14}}{2*-28000}=\frac{0+12000\sqrt{14}}{-56000} =\frac{12000\sqrt{14}}{-56000} =\frac{3\sqrt{14}}{-14} $
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