If x^2+2ax+10-3a>0 for all x then

Answers (1)

Solution:    We have ,    x^2+2ax+10-3a>0

                     ax^2+bx+c> 0,forall x    if a> 0 , D< 0

               Here      4a^2-4(10-3a)< 0Rightarrow a^2+3a-10< 0

        Rightarrow              (a+5)(a-2)< 0Rightarrow ain (-5,2).

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