SOLUTION: A number is 2 1/10 more than its reciprocal. Find the number. {2/3, 3/5, 5/4, 5/2} Please teach me how to do this in order by order!!! PLEASE!!! Thank you.

Question 98250: A number is 2 1/10 more than its reciprocal. Find the number.
{2/3, 3/5, 5/4, 5/2}
Please teach me how to do this in order by order!!! PLEASE!!! Thank you.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
N=21/10=1/N
N-1/N=21/10
(N^2-1)/N=21/10 CROSS MULTIPLY
10N^2-10=21N
10N^-21N-10=0
(5N+2)(2N-5)=0
5N+2=0
5N=-2
N=-2/5
2N-5=0
2N=5
N=5/2 ANSWER.
PROOF
5/2=21/10+1/5/2
5/2=21/10+2/5
5/2=(21+2+2)/10
5/2=25/10
5/2=5/2

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