A) \[{{x}^{2}}+5x+k=0\]
B) \[{{x}^{2}}-5x+k=0\]
C) \[{{x}^{2}}-kx+6=0\]
D) \[{{x}^{2}}+kx+24=0\]
Correct Answer: C
Solution :
Equation \[{{x}^{2}}+kx-24=0\] has one root is 3. \[\Rightarrow \,\,{{3}^{2}}-3k-24=0\] \[\Rightarrow \,\,k=5\] Put \[x=3\] and \[k=5\] in options, only (c) gives the correct answer.
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