### Golden ratio

Two quantities are in the **golden ratio** if that is the same as the quotient of their sum and the larger of the two quantities

where *a* > *b* > 0.

##### Explanation

You can calculate the golden ratio as

With the quadratic formula you get

with as positive solution

and as negative solution

As the numbers *a* and *b* are both positive, the negative solution is not valid.

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