Question 1196525
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A number multiplied by itself and the product is 5 4/9 find the number
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            The problem's formulation in the post is terrible - - - 

            THEREFORE, I edited it in order for it would make sense.


<pre>
                A number multiplied by itself gives the product 5 4/9. Find the number
</pre>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution below is for the edited version.



<pre>
Start noticing that  5 4/9 = {{{(5*9 + 4)/9}}} = {{{(45+4)/9}}} = {{{49/9}}}.


Let x be the unknown number.


According to the problem,  x*x = {{{49/9}}},  or  x^2 = {{{49/9}}}.


Hence,  x = {{{sqrt(49/9)}}} = +/- {{{7/3}}}.


<U>ANSWER</U>.  There are two possible real numbers, satisfying the condition:  {{{7/3}}}  and  -{{{7/3}}}.
</pre>

Solved.