Find the largest real number x such that (x/x-1) ^2 +(x/x+1) ^2= 325/144
3 answers
Find the largest real number x such that (x/x-1) ^2 +(x/x+1) ^2= 325/144
making better use of parentheses, we have
(x/(x-1))^2 + (x/(x+1))^2 = 325/144
cleaning all that up a bit, we get
x^2(x+1)^2 + x^2(x-1)^2 = 325/144 (x^2-1)^2
37x^4 - 938x^2 + 325 = 0
(x^2 - 25)(37x^2 - 13)
now finish it off
(x/(x-1))^2 + (x/(x+1))^2 = 325/144
cleaning all that up a bit, we get
x^2(x+1)^2 + x^2(x-1)^2 = 325/144 (x^2-1)^2
37x^4 - 938x^2 + 325 = 0
(x^2 - 25)(37x^2 - 13)
now finish it off
5 is the answer after solving the question by this guy solution and it is correct answer