PLEASE Help: --------SOLVING WORD PROBLEM USING FACTORING

[Guest]

I have to enter my answers for a class into an online-based system, and I have absolutely tried everything but my answer continutes to be wrong Please, any help would be greatly appreciated, because I cannot afford to miss this question:


The answer that the system is telling me is wrong (and the only answer that I can come up with) is 10. Here is the problem:

"10 less than the square of a positive number is the sum of 4 and 5 times of the number. Find the number."

I know this should probably be super easy but I must be just overlooking something. This is how I have been working it out:
x^2 - 10 = x(4 + 5)
x^2 - 10 = 4x + 5x
x^2 -9x - 10 = 9x - 9x
x^2 -9x - 10 = 0
(x + 1)(x - 10) = 0
x + 1 = 0 or x - 10 = 0
x = -1 or x = 10

Since the problem asks for the POSITIVE number, the answer I get is
10, but 10 is apparently the wrong answer

:!: :!: :!: HHHHHEEEEEELLLLLPPPPP!! :!: :!: :!: :!:

 

[galactus]

"10 less than the square":

\(\displaystyle x^{2}-10\), which you have.

"is the sum of 4 and 5 times the number": 4+5x.


\(\displaystyle x^{2}-10=4+5x\)

 

[Guest]

omigod :!: thats it. I feel so stupid for overlooking that all.day.long. Thank you so much galactus, I am forever in debted to you<3333