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15 votes
15 votes
X² - 6x - 41= 0 by completing squares

User Ron Nabuurs
by
2.7k points

1 Answer

12 votes
12 votes

Answer:

x = 3 ± 5
√(2)

Explanation:

x² - 6x - 41 = 0 ( add 41 to both sides )

x² - 6x = 41

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = 41 + 9

(x - 3)² = 50 ( take square root of both sides )

x - 3 = ±
√(50) = ± 5
√(2) ( add 3 to both sides )

x = 3 ± 5
√(2)

User Fernando Fabreti
by
3.3k points