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Artist 52 [7]
4 years ago
5

Factor the expression over the complex numbers. x^2+36

Mathematics
1 answer:
denis-greek [22]4 years ago
5 0
Note that
a² - b² = (a+b)(a-b)
i² = -1 by definition.

We want to factorize x² + 36 = x² + 6².

Consider the expression
x² - (6i)² = x² - (6²)(i²) = x² - 36i² = x² + 36

Because x² - (6i)² = (x + 6i)(x - 6i)
Therefore
x² + 36 = (x + 6i)(x - 6i)

Answer: (x + 6i)(x - 6i)

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Hi there!

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3 years ago
A bookmark has an area of 14 square centimeters and a perimeter of 18 centimeters. What are the dimensions of the bookmark?
Naily [24]

Answer:

2 x 7

Step-by-step explanation:

a * b = 14

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a = 14/b

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2 x 7

4 0
3 years ago
Rafael was asked to construct a square inscribed in a circle. He drew a circle and a diameter of the circle. Describe how to com
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Answer:

The diameter of the circle must be equal to the diagonal of the square.

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In order to draw a square inscribed with in the circle, the diameter of the circle must be equal to the diagonal of the square.

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A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting i
KonstantinChe [14]

Answer:

2/45

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We are told that:

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