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0=-10x^2+600x+18000
We move all terms to the left:
0-(-10x^2+600x+18000)=0
We add all the numbers together, and all the variables
-(-10x^2+600x+18000)=0
We get rid of parentheses
10x^2-600x-18000=0
a = 10; b = -600; c = -18000;
Δ = b2-4ac
Δ = -6002-4·10·(-18000)
Δ = 1080000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1080000}=\sqrt{360000*3}=\sqrt{360000}*\sqrt{3}=600\sqrt{3}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-600)-600\sqrt{3}}{2*10}=\frac{600-600\sqrt{3}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-600)+600\sqrt{3}}{2*10}=\frac{600+600\sqrt{3}}{20} $
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