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35x-x^2=17.5^2
We move all terms to the left:
35x-x^2-(17.5^2)=0
We add all the numbers together, and all the variables
-1x^2+35x-306.25=0
a = -1; b = 35; c = -306.25;
Δ = b2-4ac
Δ = 352-4·(-1)·(-306.25)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{-35}{-2}=17+1/2$
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