Let $a$ be the largest real root and $b$ be the smallest real root of the polynomial equation $x^6-6 x^5+15 x^4-20 x^3+15 x^2-6 x+1=0$ Then $\frac{a^2+b^2}{a+b+1}$ is

  • [KVPY 2021]
  • A

    $\frac{1}{2}$

  • B

    $\frac{2}{3}$

  • C

    $\frac{5}{4}$

  • D

    $\frac{13}{7}$

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