MathematicsFind the value of k for which x=2   is a solution of the equation k x 2 +2x−3=0  .

Find the value of k for which x=2   is a solution of the equation k x 2 +2x3=0  .


  1. A
    -14
  2. B
    2
  3. C
    6
  4. D
    7 

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    Solution:

    The given equation is k x 2 +2x3=0.  
    If a is a root of a quadratic equation, then it will satisfy the quadratic equation.
    Substitute x = 2 in equation,
    k 2 2 +2 2 3=0 4k+43=0 4k=1 k= 1 4  
    Therefore, the value of k is 1 4  .
    Hence, option (1) is correct.
     
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