<PRE><B>Question 140140</B>
Let x=the number
then 1/x is the reciprocal
25 times the reciprocal is:
25/x

Now we are told that x+(25/x)=10  multiply each term by x
x^2+25=10x  subtract 10x from each side

x^2-10x+25=10x-10x or
x^2-10x+25=0----quadratic in standard form and it can be factored
(x-5)^2=0 take sqrt of both sides
x-5=0
x=5

CK
5+25/5=10
10=10

Hope this helps---ptaylor
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