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____ [38]
3 years ago
5

X^2-12x+12=0 completing the square

Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0

Answer:

x1 = 6 + 2√6 or x2 = 6 - 2√6

Step-by-step explanation:

x² - 12x + 12 = 0

We need to use formula:

a² - 2ab + b² = (a - b)².

x² - 12x  =  - 12

x² - 2*6x + 6²- 6² = - 12

(x - 6)² - 36 = -12

(x - 6)² = - 12 + 36

(x -6)² = 24

(x - 6) = √24 or (x-6) = -√24

(x - 6) = 2√6 or (x-6) = - 2√6

x = 6 + 2√6 or x = 6 - 2√6

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Answer: 1296 cm³

Step-by-step explanation:

Since, the volume of a square pyramid is,

V = \frac{a^2h}{3}

Where a = side of the square base,

h = height of the pyramid,

By the given diagram,

a = 18 cm,

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Hence, the volume of the given pyramid,

V = \frac{18^2\times 12}{3}

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omeli [17]

Answer:

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Step-by-step explanation:

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