CATAlgebra > Hard486486486378378378189189189243243243✅ Correct Option: 2Related 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 3If (a+b3)2=52+303(a + b\sqrt{3})^2 = 52 + 30\sqrt{3}(a+b3)2=52+303, where aaa and bbb are natural numbers, then a+ba + ba+b equalsCAT 2019 Slot 1The product of two positive numbers is 616616616. If the ratio of the difference of their cubes to the cube of their difference is 157:3157: 3157:3, then the sum of the two numbers is