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4y - 2a/x^2 =0 (1)
4x -2.5a/y^2 =0 (2)
from (1)
4y - 2a/x^2 =0
y = a/(2x^2) (3)
sub (3) into (2)
4x -2.5a/y^2 =0
4x -2.5a/(a/(2x^2)^2) =0
4x - 10x^4/a =0
5x^4 -2ax=0
x(5x^3 -2a) = 0
x=0(舍去) or (2a/5)^(1/3)
y = a/(2x^2) = a/[ 2(2a/5)^(2/3)] = a^(1/3) .5^(2/3) . 2^(-5/3)
4x -2.5a/y^2 =0 (2)
from (1)
4y - 2a/x^2 =0
y = a/(2x^2) (3)
sub (3) into (2)
4x -2.5a/y^2 =0
4x -2.5a/(a/(2x^2)^2) =0
4x - 10x^4/a =0
5x^4 -2ax=0
x(5x^3 -2a) = 0
x=0(舍去) or (2a/5)^(1/3)
y = a/(2x^2) = a/[ 2(2a/5)^(2/3)] = a^(1/3) .5^(2/3) . 2^(-5/3)
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