Reciprocal value

How do I calculate a number x that is 9 greater than its reciprocal (1/x)?

Correct answer:

x1 =  9.10977
x2 =  -0.10977

Step-by-step explanation:

x=9+1/x x2=9x+1  x2=9x+1  x29x1=0  a=1;b=9;c=1 D=b24ac=9241(1)=85 D>0  x1,2=b±D2a=9±852 x1,2=4.5±4.6097722286464 x1=9.1097722286464=9.10977 x2=0.10977222864644   Factored form of the equation:  (x9.1097722286464)(x+0.10977222864644)=0

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