Sum

If x=−`1/2`, is a solution of the quadratic equation 3x^{2}+2kx−3=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 3x^{2}+2kx−3=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`

Concept: Nature of Roots

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