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x(200-x)=10000
We move all terms to the left:
x(200-x)-(10000)=0
We add all the numbers together, and all the variables
x(-1x+200)-10000=0
We multiply parentheses
-1x^2+200x-10000=0
a = -1; b = 200; c = -10000;
Δ = b2-4ac
Δ = 2002-4·(-1)·(-10000)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{-200}{-2}=+100$
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