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For the quadratic equation,
(m − 1)x² − 2 ( m − 1)x + 1 = 0
Discriminant = [−2(m−1)]² −4 × (m−1) = 0. Since roots are real equal roots
⇒ 4m² − 8m + 4 − 4m + 4 =0
⇒ 4m² − 12m + 8 = 0
⇒ m² − 3m + 2 = 0
∴ m = 1,2
(∵Neglect m=1 as the equation will not be quadratic anymore.)
Hence, m=2 is the correct answer.
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