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If the inequality mx^2+3x+4/x^2+2x+2 <5

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Solution: We have ,     mx^2+3x+4/x^2+2x+2< 5

               Rightarrow      mx^2+3x+4< 5(x^2+2x+2)

              Rightarrow     (m-5)x^2-7x-6< 0    forall xin R

              Rightarrow      (m-5)< 0 and  (-7)^2+24(m-5)< 0

             Rightarrow        m< 5   and     m< 71/24

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Deependra Verma

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