Question

MEDAL!!!!!!!!!!!!!!!!!!!!!!!!!
what is the solution to the equation?
1/x - 6/x^2 =-12

Answer 1

Is this it?
\[\frac{1}{x}-\frac{6}{x ^{2}}=-12\]

Answer 2

yes

Answer 3

I think its x=−3/4,2/3 :)

Answer 4

Okay. First put the left hand side over a common denominator:
\[\frac{x-6}{x ^{2}}=-12\]
Next cross multiply to get:
\[x-6=-12x ^{2}\]
Then rearrange to get the quadratic:
\[12x ^{2}+x-6=0\]
Now you can factorize and solve. Can you do that?

Answer 5

Is the above method how you got your answer?

Answer 6

The factorization is:
(3x - 2)(4x + 3) = 0
You can now check your solution yourself :)