Question

x2 + 25 = 100

Answer 1

is that x^2?

Answer 2

Hello?

Answer 3

X^2

Answer 4

start by subtracting 25 from both sides

Answer 5

Ok I did I got x^=75

Answer 6

Correct.

Now you want to take the root of both sides to get x

You can post the solution symbolically, it doesn't have to be an actual number (although you COULD post a number, I suppose).

Answer 7

Sqrt X= 37.5???

Answer 8

Mmmm...not quite. :-)

Do you know what a square root is?

Answer 9

Yes you got too divide to get the sqrt???

Answer 10

???????

Answer 11

Taking the root is more complex than simple division. It gets sticky, but most calculators can take roots.

Here's the gist, though:

A squre is where you multiply a number by itself, like
5^2 = 5*5 = 25
11^2 = 11*11 = 121

Taking the square root of a number goes backwards, so that
sqrt(121) = 11
sqrt(25) = 5

Answer 12

So what would I do with the 75?

Answer 13

Well, that's where it gets a little sticky. I'll try showing you what I'm doing...

First let's work on taking the root of x^2

Now x^2 must equal x*x
And the sqrt(x^2) must then be just plain "x".

Do you see that?

Answer 14

Ok then what

Answer 15

15 x 5 = 75

Answer 16

So then we have

x = sqrt(75)

You can either leave it at that, or you can make an approximate numerical answer
I say approximate because the square root of 75 starts of with 8.6602540378443864676372317075294..., and just keeps on going.

So you can round it off to:

x = 8.66

or you can leave it at

x = sqrt(75)

Answer 17

Oh ok thanks