Correct answer only ! i cannot retake which statement best reflects the solution(s) of the equation?

C) x = 3, (x = 2 is an extraneous solution)

Step-by-step explanation:

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Restrictions: Denominator cannot equal zero (x - 1 ≠ 0) and (x - 2 ≠ 0), so x ≠ 1 and x ≠ 2

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x(x - 2) - 1(x - 1) = 2x - 5

x² - 2x - x + 1 = 2x - 5

x² - 3x + 1 = 2x - 5

    -2x + 5  -2x + 5

x² - 5x + 6 = 0

(x - 2)(x - 3) = 0

x - 2 = 0     x - 3 = 0

  x = 2         x = 3

NOTE: x = 2 is an extraneous solution because it is one of the restricted values.

d

step-by-step explanation:

d

∞ this is your sign