CATAlgebra > Medium505050858585585858959595✅ Correct Option: 1Related questions:CAT 2023 Slot 3If xxx is a positive real number such that x8+1x8=47x^8 + \frac{1}{x^8} = 47x8+x81=47, then the value of x9+1x9x^9 + \frac{1}{x^9}x9+x91 isCAT 2024 Slot 1Let x, y, and z be real numbers satisfying 4(x2+y2+z2)=a4(x^2 + y^2 + z^2) = a4(x2+y2+z2)=a 4(x−y−z)=3+a4(x - y - z) = 3+ a4(x−y−z)=3+a Then a equalsCAT 2023 Slot 2If p2+q2−29=2pq−20=52−2pqp^{2}+q^{2}-29=2 p q-20=52-2 p qp2+q2−29=2pq−20=52−2pq, then the difference between the maximum and minimum possible value of (p3−q3)\left(p^{3}-q^{3}\right)(p3−q3) is