Can you make please a video where you share your favorite books you use and recommend people buy for properly learning trigonometry and geometry? Thank you so much.
@@citytutoring Sorry if I'm a bit too impatient, I just saw you uploaded a new video. Would it be easier to please post in a comment your favorite books you recommend for trigonometry and geometry? Not sure if you still intend making a video on them like you said 5 days ago.
You can also factor if the discriminant is 0. For example X^2 + 2x +1 = 0, which factors as (x+1)(x+1). I haven't looked at that calc book you mentioned, but i like the books by Fredrick Woods from about 1920. They do have illustrations, and I'm a fan of well thought out illustrations in math books. I think that since it's become much easier to make and print the illustrations that less thought goes into them. Woods makes great use of them. Google the woods book, the copy right has expired on them, so they are public domain.
Yes, well thought out illustrations are excellent. Unfortunately, as you say, the ones you see in most high school/college textbooks today are not of good quality. Re: discriminant. Yes!
I actually haven't listened to your explanation of the solutions, but since x=-2 would leave the right-hand side of the original equation undefined, one would need to not consider that a valid solution.
Merry xmas and a happy safe new year.
Can you make please a video where you share your favorite books you use and recommend people buy for properly learning trigonometry and geometry? Thank you so much.
Yes, will do!
@@citytutoring Sorry if I'm a bit too impatient, I just saw you uploaded a new video.
Would it be easier to please post in a comment your favorite books you recommend for trigonometry and geometry?
Not sure if you still intend making a video on them like you said 5 days ago.
My new favorite channel!
You can also factor if the discriminant is 0. For example X^2 + 2x +1 = 0, which factors as (x+1)(x+1).
I haven't looked at that calc book you mentioned, but i like the books by Fredrick Woods from about 1920. They do have illustrations, and I'm a fan of well thought out illustrations in math books. I think that since it's become much easier to make and print the illustrations that less thought goes into them. Woods makes great use of them. Google the woods book, the copy right has expired on them, so they are public domain.
Yes, well thought out illustrations are excellent. Unfortunately, as you say, the ones you see in most high school/college textbooks today are not of good quality.
Re: discriminant. Yes!
Almost thought it was a textbook I had recently bought, "Differential and Integral Calculus" by Richard Courant.
Do you know anything about this one?
I actually haven't listened to your explanation of the solutions, but since x=-2 would leave the right-hand side of the original equation undefined, one would need to not consider that a valid solution.
That is precisely what I said in the explanation, yes.