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Find all values (a, b, c, d) that satisfy ac = 6, ad = 4, bc = 9, and bd = 6.

 

I already found (a, b, c, d) = (2, 3, 3, 2,), just wanted to know some other sets

 Feb 16, 2022
edited by Guest  Feb 16, 2022
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Instead of listing, why not write an equation? If we multiply all 4 equations together, we get:

\(a^2b^2c^2d^2=36^2\)

 

Thus abcd = 36. 

 

If you need any help, just think about trying to substitute variables in terms of other variables such as a = 6/c, and try doing that and plugging it back into the main equation abcd = 36. 

 

Hopefully this method (the normal method) will help you find ALL sets faster.

The best way is to use this method in the future, or else for more difficult problems it may be almost impossible to brainstorm every single set. Good luck...

 

:D

 Feb 16, 2022

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