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If x=−1/2, is a solution of the quadratic equation 3x^2+2kx−3=0, find the value of k - Mathematics

Sum

If x=`1/2`, is a solution of the quadratic equation 3x2+2kx3=0, find the value of k

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Solution

It is given that x=`1/2` is the solution of the quadratic equation 3x2+2kx3=0

`:.3(-1/2)^2+2k(-1/2)-3=0`

`=>3/4-k-3=0`

`=>k=3/4-3=-9/4`

Hence, the value of k is `-9/4`

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