If x 2 + x + 1 x 2 + k x + 1 3 for all real x , then k is in the interval, ( − ∞ , − 1 ), ( − 1 , 6 ), ( − 1 , 5 ), ( 6 , ∞ )

If x 2 + x + 1 x 2 + k x + 1 3 for all real x , then k is in the interval

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If $\left|\frac{x^2+k x+1}{x^2+x+1}\right| < 3$ for all real $x$, then $k$ is in the interval

MathematicsQuadratic EquationAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)

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2936 Upvotes Verified Answer

The correct answer is: $(-1,5)$

No solution. Refer to answer key.

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