Q(t)=1/2(0.85^t)

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Solution for Q(t)=1/2(0.85^t) equation:



(Q)=1/2(0.85^Q)
We move all terms to the left:
(Q)-(1/2(0.85^Q))=0
Domain of the equation: 2(0.85^Q))!=0
Q∈R
We multiply all the terms by the denominator
Q*2(0.85^Q))-(1=0
Wy multiply elements
2Q^2=0
a = 2; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·2·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$Q=\frac{-b}{2a}=\frac{0}{4}=0$

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