Question

$6x - \frac{2}{x}=1$
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Answer 1

• 6x² - $\frac{ 2 }{ x }$ = 1

• $\frac{ (6x² \: - \: 2) }{ x }$ = 1

• 6x² - 2 = x
• 6x² - x - 2 = 0
• 6x² - 4x + 3x - 2 = 0
• 2x (3x - 2) + 1 (3x - 2) = 0
• (2x + 1) (3x - 2) = 0

❤ 2x + 1 = 0

❤ 2x = -1

❤ x = -½

⚡ 3x - 2 = 0

⚡ 3x = 2

⚡ x = ⅔