Ashley1nOnly
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Homework Statement
Homework Equations
The Attempt at a Solution
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How to Solve for T in an Equilibrium Problem?
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![Textbook page showing a problem on a building heated by a heat pump, with the equilibrium temperature formula Te = T0 + (W/2α)[1 + (1 + 4αT0/W)^½] and part (b) on a simple heater, followed by a solution page starting Q = W/η = W/(1 − T0/T).](/data/attachments/197/197251-caae30700ef01bc2fcaabb3b33e9310c.jpg?hash=yq4wcA7wG8)
![Scanned textbook page with a problem statement about a building heated by a heat pump, followed by the equilibrium temperature formula Te = T0 + (W/2α)[1 + (1 + 4αT0/W)^(1/2)] and the start of a solution showing Q = W/η = W/(1 − T0/T).](/data/attachments/197/197252-6d44f319ebe4beb33c30570f4af8a3d5.jpg?hash=bUTzGevkvr)
![Typed solution to a heat pump problem: Q = W/η = W/(1 − (T0/T)), equilibrium Te = T0 + (W/2α)[1 + (1 + 4αT0/W)^(1/2)], and T'e = T0 + W/α < Te.](/data/attachments/197/197253-f0d9580e42f33cc0c8d8b1ae0b5caa0b.jpg?hash=8NlYDkLzPM)
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Are you familiar with how to find the roots of a polynomial of degree 2?
Ashley1nOnly
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I solved it with your help. I didn't even think about doing it that way. Thanks