10th Class Mathematics Related to Competitive Exam Question Bank Quadratic Inequation

  • question_answer
    Find the value that x can take in \[6x-{{x}^{2}}+16<0\]

    A)  \[x\in (-2,8)\]                

    B)  \[x\in (6,16)\]

    C)  \[x\in (16,\infty )\]                     

    D)  \[x\in (-\infty ,-2)\cup (8,\infty )\]

    Correct Answer: D

    Solution :

    (d): Actually, this is a greater than problem,    Multiplying both sides by ( ? 1),          \[{{x}^{2}}-6x-16>0\Rightarrow (x-8)(x+2)>0\]     \[\Rightarrow x\in (-\infty ,-2)\cup (8,\infty )\]


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