Rearranging equations ?

If x^2 = 7y
Then x = ±√7y

x^2 = 7y
x = ±√(7y)

x^2=7y
x=±√(7y)
x=√(7y),-√(7y) answer//

When rearranging equations, you first of all look at what you want to move to the other side. In this case, you want to move the ^2 (squared sign) to the other side, to get 'x' all by itself. Then you do the inverse of whatever the thing you want to move is (if that makes sense, it's tough to explain on the computer). So for example, if it was x + 5 = y, and you wanted x on its own, you'd subtract 5 from both sides (as the inverse of the '+5' is '-5'), which would give you x = y - 5.

If in doubt about rearranging something, just throw in some numbers and see if it works. Take the last example: x + 5 = y.

Let's say x = 5, and so y = 10 (because y = x + 5)
So the take the 5 from both sides, and you have x = y - 5.
Put the same numbers in again, and you can see that 5 = 10 - 5. So it works.

So now onto your problem. You have x^2 = 7y. It looks a little daunting at first, but all you need to do is look carefully. You need 'x' on its own, and so you need to get rid of the squared part. So you do the inverse of a square - A square root - to both sides.

This would give: x = √ (7y)

You are just square rooting everything on the right hand side, and so you just throw it all into a bracket and put a √ outside.

Keep in mind that with a worked example, with 'y' being equal to a specific number, 'x' would take two values, a positive and a negative. This is why it would sometimes be written as x = ±√(7y). (Plus or minus the square root of 7y)

Hope I helped.

x² = 7y


x = √7y

x = √ ( 7 y )

that doesnt even make sense. But thats me :|