perplexus.info :: Just Math : Three expressions

Three expressions - same value (Posted on 2016-06-02)

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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