The sum of a number and 6 times its reciprocal is 7. Find the number.
If the problem has two solutions, type your answers in the box below with NO spaces and separating them with a comma. Example: 2,7

Question

The sum of a number and 6 times its reciprocal is 7. Find the number. 
If the problem has two solutions, type your answers in the box below with NO spaces and separating them with a comma. Example: 2,7

lgbasallote · Answer

hint $$\large x + 6(\frac{1}{x}) = 7$$

anonymous · Answer

In symbols, your first sentence is this, where $x$ is your "number".$$\Huge x+6\cdot \frac{1}{x}=7$$Now solve for $x$ (Hint: multiply both sides by $x$ first and then put all the terms on one side.)

anonymous · Answer

x=1,6? :o

anonymous · Answer

Good job!  That is correct.  Don't forget that to check your answers you can always substitute back into the equation to see if the solutions hold true.

anonymous · Answer

Thanks so much c: I have a few more on the way 'xD <3