MathematicsFind m if the quadratic equation m-1×2-2(m-1)x+1=0 has equal roots.

Find m if the quadratic equation m-1x2-2(m-1)x+1=0 has equal roots.


  1. A
    1
  2. B
    2
  3. C
    3
  4. D
    4 

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    Solution:

    m-1x2-2(m-1)x+1=0 has equal roots.
    ⇒D=0
    ⇒B2-4AC=0
    ⇒-2(m-1)2-4×m-1×1=0
    ⇒4(m-1)2-4(m-1)=0
    ⇒4(m-1)(m-1-1)=0
    ⇒m-1=0 and m-2=0
    ⇒m=1 and m=2
    But for m = 1, the given quadratic equation does not exist.
    Thus, m = 2.
      
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