If x= 3 is one of the quadratic equation x^2 - 2 kx - 6 = 0, then find the value of k.
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her dear your answer is in the attachment
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thus,
Substituting x=3 in the quadratic equation,
[tex] x^{2} -2kx-6=0 3^{2} -2k(3)-6=0 9-6k-6=0 3(3-2k-2)=0 Dividing both sides by 3 3-2k-2=0 1-2k=0 1=2k 1/2=k thus k=1/2 [/tex]
Substituting x=3 in the quadratic equation,
[tex] x^{2} -2kx-6=0 3^{2} -2k(3)-6=0 9-6k-6=0 3(3-2k-2)=0 Dividing both sides by 3 3-2k-2=0 1-2k=0 1=2k 1/2=k thus k=1/2 [/tex]
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