x + 2 = (22x + 1)/x
x ≠ 0
x(x + 2) = 22x + 1
x² + 2x - 22x - 1 = 0
x² - 20x - 1 = 0
D = (-20)² + 4*1 = 404
x₁₂ = (20 +- √404)/2 = (20 +- 2√101)/2 = 10 +- √101
x₁ = 10 + √101
x₂ = 10 - √101
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Answers & Comments
x + 2 = (22x + 1)/x
x ≠ 0
x(x + 2) = 22x + 1
x² + 2x - 22x - 1 = 0
x² - 20x - 1 = 0
D = (-20)² + 4*1 = 404
x₁₂ = (20 +- √404)/2 = (20 +- 2√101)/2 = 10 +- √101
x₁ = 10 + √101
x₂ = 10 - √101