10th Class Mathematics Quadratic Equations Question Bank Quadratic Equations

  • question_answer
    If the roots of\[{{x}^{2}}+4mx+4{{m}^{2}}+m+1=0\] are real, which of the following is true?

    A)  \[\text{m}=-\text{1}\]                 

    B)         \[\text{m}\le -\text{1}\]

    C)  \[\text{m}\ge -\text{1}\]           

    D)        \[~\text{m}\ge 0\]

    Correct Answer: B

    Solution :

     Given, \[\text{4}0\text{8 }=\text{ 216 }\times \text{ 1 }+\text{ 192}\]have real roots. \[\text{216 }=\text{ 192 }\times \text{ 1 }+\text{ 24}\]   \[\text{192 }=\text{ 24 }\times \text{ 8 }+\text{ }0\] \[{{6}^{x}}\]       \[{{6}^{x}}={{(2\times 3)}^{x}}={{2}^{x}}\times {{3}^{x}}\] \[\Rightarrow \]               \[{{6}^{x}}\]       \[\therefore \]  \[{{6}^{x}}\]


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