Question

Solve (28/x) - (7/x^2) = 7

Answer 1

like a first step what will be the common denominator ?

Answer 2

Um I'm not sure.

Answer 3

for x and x^2 what is the GCF ?

Answer 4

x?

Answer 5

sorry not is this the right question for common denominator

Answer 6

the great common divisor ?

Answer 7

Sorry I don't think I know

Answer 8

why not this is very easy

for x^2 is x^2 yes ? bc. x^2 /x^2 = 1

and for x is too x^2 bc. x^2 /x = x

ok. ?

Answer 9

Okay

Answer 10

so and in this way you get that the common denominator is x^2

Answer 11

Yes

Answer 12

so than x^2 is the common denominator with what will need multiplie the first fraction ?

Answer 13

x?

Answer 14

yes sure

Answer 15

and on the other side the 7 ?

Answer 16

So the first fraction multiplied would be 28x/x^2 and then the 7 would be 7x?

Answer 17

no for 7x

so than the common denominator is x^2 and the 7 on the right side has the denominator 1 so than with what will be necessary multiplie the 7 ?

Answer 18

x^2

Answer 19

yes sure exactly this is easy and you know it just more courage please

ok. ?

Answer 20

so now please make what you write above

Answer 21

28x/x^2 - 7/x^2 = 7/x^2
I'm confused about the 7/x^2 part though

Answer 22

no on the right side multiplie the 7 not just divide by x^2

Answer 23

7x^2

Answer 24

yes so how will be ?

Answer 25

28x/x^2 - 7/x^2 = 7x^2

Answer 26

I think the easy thing to do is multiply every term by x^2 and that will eliminate all denominators'

then looking at things divide every term by 7

then I'd expect it's general quadratic formula for the solutions.

Answer 27

like this

\[\frac{28}{x} \times x^2 - \frac{7}{x^2} \times x^2 = 7 \times x^2\]

Answer 28

Ah, okay that makes sense.

Answer 29

And then after that would I just use the quadratic formula to solve?