a number added to 8 times the numbers reciprocal is 6. find the numbers

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a number added to 8 times the numbers reciprocal is 6. find the numbers

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Do you know how to express this as an equation?
cal the unknown number 'x'. then what the question states is:\[x+\frac{8}{x}=6\]do you know how to solve this?
no

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first multiply both sides of the equation by 'x' to get rid of the fraction. this gives us:\[x^2+8=6x\]which can be re-arranged to:\[x^2-6x+8=0\]this is a standard quadratic equation. hopefully you know how to solve this?
no
do you know how to factorise this expression?
mmm no
can u please tell me the answer
i got it is 2 and 4
ok - looks like you are trying to solve a problem without first learning the foundation behind it. It might be better for you to first review any notes that your teacher may have given you and then try again to solve this. The aim of OpenStudy is to help students understand how to solve problems - not just give them the answer.
4 and 2
@ale5 - how did you get 2 and 4 if you do not know how to solve this?
i factor 8 and it give me -2 and -4 and if you add htem is -6 then i solve for x
ok - that is the correct approach. you confused me above by saying that ou didn't know how to factorise.
I guess what you were trying to say is that you know how to factorise but just couldn't "see" what the factors were for this problem?

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