Reciprocal value

How do I calculate a number x that is nine 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=2ab±D=29±85 x1,2=4.5±4.609772 x1=9.109772229=9.10977 x2=0.109772229

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