SOLUTION: The sum of a number and 25 times its reciprocal is 10. Find the number.
Algebra.Com
Question 140140: The sum of a number and 25 times its reciprocal is 10. Find the number.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
the sum of a number and its reciprocal is 25\12 find the... (answered by drj)
the sum of a number and its reciprocal is 25\12 find the... (answered by drj)
the sum of a number and 5 times its reciprocal is 6. find the... (answered by rahman)
THE SUM OF A NUMBER AND 12 TIMES ITS RECIPROCAL IS 7. FIND THE... (answered by MathLover1,Fombitz)
The sum of a number and 8 times its reciprocal is 6. Find the... (answered by RAY100)
The sum of a number and 49 times its reciprocal is -14. Find the... (answered by chibisan)
the sum of a number and seven times its reciprocal is 16/3. find the... (answered by anantha)
The sum of a number and six times its reciprocal is 5. Find the number. (answered by mananth)
The sum of a number and four times its reciprocal is 29/5.Find the number (answered by eggsarecool)