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the number of integral values of k the inequality |(x^2+kx+1)/(x^2+x+1)|《3 is satisfied for all real values of x, is ?

the number of integral values of k the inequality |(x^2+kx+1)/(x^2+x+1)|《3 is satisfied for all real values of x, is ?

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1 Answers

Anish Singhal
askIITians Faculty 1192 Points
5 years ago
Take 3 to left side and take lcm then x^2+x+1 is always gretaer than 0, so it all depends on numerator simplify numerator and find out roots by using quadratic formula, then u can find out the condition for k.

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