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 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) isCAT 2023 Slot 1If xxx and yyy are real numbers such that x2+(x−2y−1)2=−4y(x+y)x^2 + (x - 2y − 1)^2 = - 4y(x + y)x2+(x−2y−1)2=−4y(x+y), then the value x−2yx - 2yx−2y is