Help me people please

Question

Help me people please

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Answer 1

Xy=8
x²+y²=20

y=8/x
x²+(8/x)²=20

y=8/x
x²+64/x²=20

y=8/x
x⁴+64=20x²

x⁴-20x²+64=0
D=20²-4*64=400-256=144=12²
x²₁=(20-12)/2=4     x₁₂=+-2  y₁₂=+-4
x₂²=(20+12)/2=16  x₃₄=+-4  y₃₄=+-2

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