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den301095 [7]
3 years ago
10

Solve q - 6 = the square root of 27 - 2q

Mathematics
2 answers:
taurus [48]3 years ago
8 0
Q - 6 = √(27 - 2q)
----------------------- each side squared by two
(q - 6)² = 27 - 2q
q² - 6q - 6q + 36 = 27 - 2q
q² - 12q + 36 = 27 - 2q
------------------------ move all terms to the left side
q² - 12q + 2q + 36 - 27 = 0
q² - 10q + 9 = 0
------------------------ factorize
(q - 9)(q - 1) = 0
q = 9 or q = 1

The solution is
q = 9
or
q = 1
adelina 88 [10]3 years ago
6 0
The answer and the procedure of working out can be seen in the picture

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Read 2 more answers
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