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Q.

If one root of the quadratic equation 6 x 2 −x−k=0 is 2 3 , is then find the value of k.


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a

  the value of k is 1.

b

  the value of k is 2.

c

  the value of k is 3.

d

  the value of k is 4. 

answer is B.

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Detailed Solution

Given that one root of the quadratic equation 6 x 2 −x−k=0 is 2 3 .
We know that, the roots of a quadratic equation should satisfy the equation.
Substitute x= 2 3 in the quadratic equation 6 x 2 −x−k=0.
6 2 3 2 − 2 3 −k=0 8 3 − 2 3 −k=0 8 3 − 2 3 −k=0 6 3 −k=0 2−k=0 k=2
Hence, the value of k is 2.
The correct option is (2).
 
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