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Mathematical Topics in Olympic Games (Grade Two)
Divide the denominator by1/a-1/b-1/(a+b) = 0, and b 2-ab-a 2 = 0.

(b/a)^2-(b/a)- 1=0,b/a=( 1√5)/2。

(1). When b/a=( 1+√5)/2, a/b = 2/(1+√ 5) = (√ 5-1)/2.

(b^2)/(a^2)-(a^2)/(b^2)=√5.

(1). When b/a=( 1-√5)/2, a/b = 2/(1-√ 5) =-(√ 5+1)/2.

(b^2)/(a^2)-(a^2)/(b^2)=-√5.

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