SOLUTION: A number mutiplied by itself and the product is 5 4/9 find the number

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Question 1196525: A number mutiplied by itself and the product is 5 4/9 find the number

Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
Problem States:
A number 'x' multiplied by itself 
the product is 5 4/9 
x•x = x%5E2+=+49%2F9
Find the number:
x = ± 7/3 or x = ± 2 1/3

Wish You the Best in your Studies.


Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
A number multiplied by itself and the product is 5 4/9 find the number
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


            The problem's formulation in the post is terrible - - -
            THEREFORE, I edited it in order for it would make sense.

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

            The solution below is for the edited version.


Start noticing that  5 4/9 = %285%2A9+%2B+4%29%2F9 = %2845%2B4%29%2F9 = 49%2F9.


Let x be the unknown number.


According to the problem,  x*x = 49%2F9,  or  x^2 = 49%2F9.


Hence,  x = sqrt%2849%2F9%29 = +/- 7%2F3.


ANSWER.  There are two possible real numbers, satisfying the condition:  7%2F3  and  -7%2F3.

Solved.