10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    The expression\[{{x}^{2}}-x-30\]is positive for

    A)  no value of \[x\]

    B)  all values of \[x\] between - 5 and 6

    C)  all\[x\]

    D)  \[x>6\,\,or\,\,x<-5\]  

    Correct Answer: D

    Solution :

                    \[{{x}^{2}}-x-30={{x}^{2}}-6x+5x-30\]                 \[=(x+5)(x-6)\] \[\therefore \]  \[(x+5)(x-6)>0\] It is positive for \[x>6\] and\[x<-\,\,5\]


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