Need math instruction help for completing the square

[Kendall]

To solve this by completing the square


x^2-14x+33<0

I want him to have the first step be

x^2-14x<-33


He wants the first step to be

x^2-14x+33+16<0+16


I know that both methods result in

X^2-14x+49<16

but I think it is important to isolate the x terms, but I can’t explain why. One obvious reason is a greater chance of error in his method, but I feel like there are more important reasons. Maybe I am wrong.

What would you suggest?

Thanks,
Kendall

[Jann in TX]

In other words BOTH of your methods are correct.

I personally think like you... but I've had a few students over the years who think like your son!--Again I've seen BOTH methods taught in textbooks...

As long as he continues to get the correct answer let him work the problem his way...

[Kendall]

Jann,

Thanks so much! I'll let him do it that way provided he doesn't make frequent mistakes.

Kendall