Question

solve x/7-7/x=0

Answer 1

x=7

Answer 2

1) multiply out the denominators (ie. multiply both sides of the equation by x then 7. Do this and tell me what you get.

Answer 3

you should get \[x ^{2}-49=0\]

Answer 4

Did you get this?

Answer 5

yes
what next

Answer 6

Are you familiar with the "difference of two squares" rule?

Answer 7

yes

Answer 8

just add 49 to both sides and take its squareroot

Answer 9

much easier
you are doing the same thing but in a longer way

Answer 10

So can you see that the equation is \[x ^{2}-7^{2}\] this factorises out into \[(x-7)(x+7)=0 \] ...voila... or you can use acxbox22's method!

Answer 11

Do you understand?

Answer 12

yes a little whaat is that method like how do i do it

Answer 13

So, \[x ^{2}-49=0 ... x ^{2}=47 ....x=+ or - \sqrt{47} ....=+ or - 7\]

You simply take the square root. But the crucial step is to say "plus or minus" the square root. Because it could be either - there are two solutions

Answer 14

can you walk me through it slowly please

Answer 15

Do you want to know how to solve an equation?