Question

log(base2)x^+x-52=2

Answer 1

\[\log_{2}x ^{2}+x-52=2 \]

Answer 2

Then I used the quadratic formula to get \[\frac{ -1\pm \sqrt{217} }{ 2}\]

Answer 3

But my homework program has rejected all of my answers so I'm at a bit of a loss

Answer 4

You were on the right track at \(\rm \color{purple}{x^2+x-52=4}\)

Answer 5

Give me a minute

Answer 6

Well, now you just want to solve it

Oh, and do you know how many solutions you will have?

Answer 7

I think that the problem is with the number in the square root.

Answer 8

Not exactly, but there's at least one.

Answer 9

Yes, there is 2 solutions for x

Answer 10

Are they asking you to solve for x?

Answer 11

Yes, I think I may have figured out the problem. For some reason my calculator was spitting out sqrt(217) but I think it should be Sqrt(225)

Answer 12

Ok, so continue. Can you tell me what you got when you finish?

Answer 13

x=7,-8

Answer 14

Just checked it in my program and it's correct.

Answer 15

Right :)

Answer 16

I can't figure out for the life of me where my calculator came up with 217 instead of 225

Answer 17

There is a few different ways you can solve

\(\rm \color{purple}{x^2+x-52=4}\)

One way is without square roots I was going to show you :)

Answer 18

Hmm, are you using like a calculator on your computer or..?

Answer 19

Yes, so I used a different one which is where I got the correct answer.

Answer 20

Ah ok. You must've used 217 in the past, and it was suggesting this and that. Weird to explain. Clearing your history should work or just use a different calculator for now on :)

Answer 21

Yeah, I definitely will. Thanks for your help, sometimes just talking it through helps as much as anything, getting over the block.