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Three expressions - same value (Posted on 2016-06-02) Difficulty: 3 of 5
For a certain couple of two positive numbers a and b the sum a+b, the product a*b and the expression a^2-b^2 result as the same non-zero number.

Evaluate a and b .

No Solution Yet Submitted by Ady TZIDON    
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Winning couple Comment 3 of 3 |
(a+b)(a-b)=a+b => a=b+1

b(b+1)=a+b => b^2=a

b^2=b+1 =>b=phi           =>a=1+phi
                     b=-1/phi    => a=(phi-1)/phi (but b is negative against enunciate). 

  Posted by armando on 2016-06-02 16:23:05
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