Question

How do you solve `(x + 4)^{2} = 245`?

Answer 1

There are plenty of ways to do this but I think the easiest is just to square root it. I got #x=-19.65248, 11.6525

Explanation:

The best way to do this, in my opinion, is to just square root both sides first to get ride of the square:
`√(x+4)^2 = √245`
Now you might not know but when you square root a square it cancels it out and keeps everything inside so the result is:
`x +4 =+- 15.65247584`
The next thing to do is subtract the `4` from both sides:
`x=-4+-15.65247584`
If you do not know `+-` just means you are going to get two answers which include you adding `4` and subtracting it. You have to do this every time you take the square root of something:
`x=-4+15.65247584` and
`x=-4-15.65247584`
These come out to:
`x=-19.65248` and
`x=11.6525`
You can check these by putting it back into the problem in the `x` spot as so:
`((-19.65248)+4)^2=245` and
`((11.6525)+4)^2=245`
I checked both of these and they both come out to about `245` so they you go.