Nanny needing help with Maths question

[ClaygateNanny123]

This is probably not the best place to post but could anyone help me work out x/4 = 49/x. I know the answer but not how to work out

If you rearrange you get x squared = 49/4
Take square root
X=7/2
Or x=3.5

Thank you and sorry to be a pain it would you mind talking me through the rearranging

Isn't it x squared = 49*4?

Times both sides to get
(x^2)/4=49
Then times both sides by 4
x^2=494
Here is where you can be clever and realise that both are square numbers and we can get to
x=72=14

Because 494=7722=(7*2)^2

Clay When you move a term to the other side of the equals sign, you do the opposite operation, as you are "undoing" that thing to both sides to maintain the equality.

You want all the xs on one side and all the numbers on the other. So, move the /4 to the other side and thus becomes x=49/x 4. Then move the /x so you get xx=494.
xx=196 so x=14

I get x (squared) = 49x4 so x = square root of 196 so x= 14

This is how I would do it

Thank you everyone I understand now - have done it over 20 years ago but forgotten

Don't forget that it can also be -14, as there are two solutions for the square root of 196: 14 and -14.