Question 892947
The product of two numbers is 72. 
<pre>
{{{(matrix(2,1,FIRST,NUMBER))}}}{{{"×"}}}{{{(matrix(2,1,SECOND,NUMBER))}}}{{{""}}}{{{""=""}}}{{{""}}}{{{72}}}
</pre>
Their quotient is 2.
<pre>
{{{((matrix(2,1,FIRST,NUMBER)))/((matrix(2,1,SECOND,NUMBER)))}}}{{{""}}}{{{""=""}}}{{{""}}}{{{2}}} 

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Let {{{(matrix(2,1,FIRST,NUMBER))}}}{{{"="}}}{{{x}}}

Let {{{(matrix(2,1,SECOND,NUMBER))}}}{{{"="}}}{{{y}}}

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{{{xy}}}{{{""=""}}}{{{72}}}
{{{x/y}}}{{{""=""}}}{{{2}}}

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Multiply equals by equals:

{{{xy}}}{{{""*""}}}{{{x/y}}}{{{""=""}}}{{{72*2}}}

Cancel the y's, multiply 72 by 2

{{{x*cross(y)}}}{{{""*""}}}{{{x/cross(y)}}}{{{""=""}}}{{{144}}}

{{{x^2}}}{{{""=""}}}{{{144}}}

{{{x}}}{{{""=""}}}{{{"" +- 12}}}

Substitute {{{("" +- 12)}}} for {{{x}}} in

{{{xy}}}{{{""=""}}}{{{72}}}

{{{("" +- 12)*y}}}{{{""=""}}}{{{72}}}

{{{y}}}{{{""=""}}}{{{72/("" +- 12)}}}

{{{y}}}{{{""=""}}}{{{"" +- 6)}}}

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</pre>
What are the two numbers?
<pre>
Two solutions:

They are either +12 and +6, or -12 and -6

Edwin</pre>