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faust18 [17]
3 years ago
14

Solve the following equation algebraically:

Mathematics
2 answers:
Montano1993 [528]3 years ago
7 0
For this case we have the following equation:
 -16 = 16x ^ 2
 Clearing x we have:
 -16 / 16 = x ^ 2
 x ^ 2 = -1
 x = +/- root (-1)
 Rewriting:
 x = +/- i
 Therefore, the solutions are:
 x1 = i
 x2 = -i
 Answer:
 
this equation has two solutions:
 
x1 = i
 
x2 = -i
prohojiy [21]3 years ago
5 0
B. No solution because I got that right
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Very nice handwriting but the math and English are confusing.

Let's assume we're told

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2

The subscript is important.

I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.

\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2 = \sum x_i^2 - 20 \sum x_i + 9(100)

\displaystyle  \sum x_i^2=  20 \sum x_i  - 900

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