The sum of a number and 6 times its reciprocal is -5. Find the number(s).

Question

Please advise.

Answer 1

x + 6/x = -5

 

x² + 6 = -5x

 

x² +5x +6 = 0

 

(x+2)(x+3)=0

 

x = -2 or -3

 

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