FOR GENIUS ONLY!!!!!! SOLVE IT IF YOU CAN 16th one
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x⁴/y⁴+y⁴/x⁴=47
add 2 on both sides
x⁴/y⁴+y⁴/x⁴+2=47+2
(x²/y²+y²/x²)²=49
x²/y²+y²/x²=7
add 2 on. both sides
(x/y+y/x)²=9
x/y+y/x=3
add 2 on both sides
(√x/√y+√y/√x)²=5
therefore answer is √5
add 2 on both sides
x⁴/y⁴+y⁴/x⁴+2=47+2
(x²/y²+y²/x²)²=49
x²/y²+y²/x²=7
add 2 on. both sides
(x/y+y/x)²=9
x/y+y/x=3
add 2 on both sides
(√x/√y+√y/√x)²=5
therefore answer is √5
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