Question

HELP ME, PLZ. 100 POINTS !!!

using cauchy theorem, find x:

`13\sqrt{x^(2)-x^(4) }+9\sqrt{x^(2) +x^(4) }=16`

Answer 1

x=2√5/5

x=-2√5/5

Explanation:

13√(2√5/5)^2-(2√5/5)^4+9√(2√5/5)^2+(2√5/5)^4=16

13√(4×5/25)-(16×25/625)+9√(4×5/25)+(16×25/625)

13√(4/5)-(16/25)+9√(4/5)+(16/25)

13√(4/25)+9√(36/25)

13×2/5+9×6/5

26/5+54/5

16=16 (proven)