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Question: Answered & Verified by Expert
The maximum value of the expression $\frac{x^2+x+1}{2 x^2-x+1}$, for $x \in \mathbb{R}$, is
MathematicsQuadratic EquationAP EAMCETAP EAMCET 2017 (24 Apr Shift 2)
Options:
  • A $\frac{7+2 \sqrt{7}}{7}$
  • B $\frac{7-2 \sqrt{7}}{7}$
  • C $\frac{7}{3}$
  • D $\frac{14+2 \sqrt{7}}{7}$
Solution:
1560 Upvotes Verified Answer
The correct answer is: $\frac{7+2 \sqrt{7}}{7}$
No solution. Refer to answer key.

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