SOLUTION: The question is:
The Sum of a number and it's reciprocal is 10/3. What is the number?
I hope you can get back to me before monday.
Thanks.
Algebra.Com
Question 31243This question is from textbook Algebra: Structure and Method
: The question is:
The Sum of a number and it's reciprocal is 10/3. What is the number?
I hope you can get back to me before monday.
Thanks.
This question is from textbook Algebra: Structure and Method
Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
Hello!
Given a number X, we call 1/X its reciprocal. So, for example 1/2 is the reciprocal of 2.
So we have that the sum of a number and its reciprocal (X + 1/X) is 10/3:
Multiply everything by X in order to get rid of the 1/X:
This is a quadratic equation, which can be solved using the quadratic formula:
So we have:
So the two possible numbers that solve your problem are:
I hope this helps!
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