## anonymous one year ago log(base2)x^+x-52=2

1. anonymous

$\log_{2}x ^{2}+x-52=2$

2. anonymous

|dw:1433299192056:dw|

3. anonymous

|dw:1433299285026:dw|

4. anonymous

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

5. anonymous

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

6. sammixboo

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

7. sammixboo

Give me a minute

8. sammixboo

Well, now you just want to solve it Oh, and do you know how many solutions you will have?

9. anonymous

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

10. anonymous

Not exactly, but there's at least one.

11. sammixboo

Yes, there is 2 solutions for x

12. sammixboo

Are they asking you to solve for x?

13. anonymous

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)

14. sammixboo

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

15. anonymous

x=7,-8

16. anonymous

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

17. sammixboo

Right :)

18. anonymous

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

19. sammixboo

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 :)

20. sammixboo

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

21. anonymous

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

22. sammixboo

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 :)

23. anonymous

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