x(200-2x)=5000

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Solution for x(200-2x)=5000 equation:



x(200-2x)=5000
We move all terms to the left:
x(200-2x)-(5000)=0
We add all the numbers together, and all the variables
x(-2x+200)-5000=0
We multiply parentheses
-2x^2+200x-5000=0
a = -2; b = 200; c = -5000;
Δ = b2-4ac
Δ = 2002-4·(-2)·(-5000)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-200}{-4}=+50$

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