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Roman55 [17]
3 years ago
6

Solve the equation for all values of x by completing the square. x^2 + 4x = 32

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer:

x^2+4x-32=0

(mid-term breaking---4 x 8=32)

x^2+8x-4x-32=0

x(x+8)-4(x+8)

x+8=0 or x-4=0

So x=+4 or x=-8

Step-by-step explanation:

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<h3>Answer: B)  2.9  approximately</h3>

==================================================

Explanation:

The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the (x-\overline{x})^2 terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so \sum(x-\overline{x})^2 = 34

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s = \sqrt{\frac{1}{n-1}\sum(x-\overline{x})^2} \\\\s = \sqrt{\frac{1}{5-1}*34} \\\\s = \sqrt{\frac{1}{4}*34} \\\\s = \sqrt{0.25*34} \\\\s = \sqrt{8.5} \\\\s \approx 2.91547594742266 \\\\s \approx 2.9 \\\\

This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.

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