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(0)x=15000-300x^2
We move all terms to the left:
(0)x-(15000-300x^2)=0
We add all the numbers together, and all the variables
-(15000-300x^2)+x=0
We get rid of parentheses
300x^2+x-15000=0
a = 300; b = 1; c = -15000;
Δ = b2-4ac
Δ = 12-4·300·(-15000)
Δ = 18000001
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{18000001}}{2*300}=\frac{-1-\sqrt{18000001}}{600} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{18000001}}{2*300}=\frac{-1+\sqrt{18000001}}{600} $
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