Reciprocal in equation

A positive number, when increased by 10 equals 200 times its reciprocal. What is the number?

Correct answer:

n =  10

Step-by-step explanation:

(n+10)=200 n1  n(n+10)=200  n2+10n200=0  a=1;b=10;c=200 D=b24ac=10241(200)=900 D>0  n1,2=2ab±D=210±900 n1,2=210±30 n1,2=5±15 n1=10 n2=20  n>0 n=n1=10

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