Answer:
x = 9 + 6i or x = 9 - 6i
Step-by-step explanation:
x² - 18x + 117 = 0
Complete the square and solve:
(x - 9)² - 81 + 117 = 0
(x - 9)² + 36 = 0
(x - 9)² = -36
x - 9 = ±sqrt(-36)
x - 9 = ±sqrt(-1).sqrt(36)
i = imaginary number = sqrt(-1)
x - 9 = ±6i
x = 9 ± 6i
There are no real solutions, only imaginary ones
9 + 6i and 9 - 6i
w = number of weeks
b(w) = number of books read after w weeks
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b(w) = 12 translates to "after w weeks, Katy will have read 12 books" or put another way "Katy will have read 12 books after w weeks". The 'w' is a placeholder for some number
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b(2) = 10 means "Katy has read 10 books after 2 weeks". We use the same basic idea talked about above, but we replace w with 2. At the same time, we use 10 instead of 12.
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b(3) = f means "Katy has read f books after 3 weeks" or "after 3 weeks, Katy has read f books". Like w, the f is a placeholder for some number.
Answer:
a200
Step-by-step explanation:
What goes in goes out. This means none of the current is lost. So if 0.7amps+0.68amps+0.47amps = 1.85 amps comes in, then 1.85 amps goes out. So far we have 0.8 amps+0.55 amps going out= 1.35 amps. This means we need an additional 1.85-1.35amps going out= 0.5 amps for the third outgoing current. Cheers!
