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4 years ago

B²+b=2 how to complete the square

1 answer:

8 0

B^2 + b = 2
b^2 + b + 1/4 = 2 + 1/4
(b + 1/2)^2 = 9/4
b + 1/2 = (+-) sqrt 9/4
b + 1/2 = (+-) 3/2

b = -1/2 + 3/2 = 2/2 = 1
b = -1/2 - 3/2 = -4/2 = -2

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Step-by-step explanation:

Given the information on the table

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&\\1 p.m.&\\12 p.m.&\\2 p.m.&\\3 p.m.&\\4 p.m.&\\5 p.m.&32\\6 p.m.&64\end{array}\right|$

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$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&2^{-1}=0.5\\1 p.m.&2^0=1\\12 p.m.&2^1=2\\2 p.m.&2^2=4\\3 p.m.&2^3=8\\4 p.m.&2^4=16\\5 p.m.&2^5=32\\6 p.m.&2^6=64\end{array}\right|$

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Step-by-step explanation:

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