quadratics

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luciazhu1105

14 posts

luciazhu1105

#1 h Feb 14, 2025, 12:42 AM

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I really need help on quadratics and I don't know why I also kinda need a bit of help on graphing functions and finding the domain and range of them.

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sadas123

1306 posts

sadas123

#2 h Feb 14, 2025, 1:46 AM

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For quads just rememebr factoring styles and easily factoring binomails, and how to find the roots of an equation using the quadratic formula, also know how to do complex manipulations to get the answer for a quadratic equation with product and sum of the roots.

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stanleydai

43 posts

stanleydai

#3 h Feb 14, 2025, 1:58 AM

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for quadratics learn to graph them, factoring and expanding with foil method, quadratic formula, and Vieta's Formula's for quadratic equations.

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studentnumbertwo

23 posts

studentnumbertwo

#4 h Mar 4, 2025, 1:38 PM

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PLZ help How do I remember the quadratic formula???????????

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mithu542

1584 posts

mithu542

#5 h Mar 4, 2025, 2:12 PM

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This is a very helpful song that helped me memorize it, if it helps (not rickroll trust)

This post has been edited 1 time. Last edited by mithu542, Mar 4, 2025, 2:13 PM

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Andyluo

977 posts

Andyluo

#6 h Mar 4, 2025, 2:51 PM

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studentnumbertwo wrote:

PLZ help How do I remember the quadratic formula???????????

understand that its a generalized process of completing the square, and just memorize it

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ultimatehero

298 posts

ultimatehero

#7 h Mar 4, 2025, 3:37 PM

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the more you see the formula and use it in problems, the easier it will become to memorize.

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anticodon

164 posts

anticodon

#8 h Mar 4, 2025, 8:52 PM • 1 Y

Y by stanleydai

just complete the square if you aren't sure on the quadratic formula. Some problems are easier with CTS (ex - solving $x^2+4x+1=0$ ) so don't rely too heavily on formulas. Some equations are easily factorable.

For graphing, it is helpful to understand transformations of $f(x)=x^2$ and other parent functions; horizontal transformations always come first and do opposite operations in the opposite order of PEMDAS, etc.

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eddie.li

32 posts

eddie.li

#9 h Mar 7, 2025, 3:49 PM

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don’t worry about memorizing the formula.just use it a lot and you’ll get used to it.i bet you can memorize it

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dipinsubedi

5 posts

dipinsubedi

#10 h Mar 15, 2025, 6:10 PM

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i just stared at it for 1 hour and memorized it
(-b +- sqrt b^2 - 4ac )/2a

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pingpongmerrily

3666 posts

pingpongmerrily

#11 h Mar 15, 2025, 6:23 PM

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quadratics you just need a lot of practice
like take an algebra class or go through questions and just solve solve solve

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kamuii

231 posts

kamuii

#12 h Mar 16, 2025, 1:15 AM

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studentnumbertwo wrote:

PLZ help How do I remember the quadratic formula???????????

https://www.youtube.com/watch?v=VOXYMRcWbF8

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KF329

453 posts

KF329

#13 h Mar 16, 2025, 2:17 AM

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mithu542 wrote:

This is a very helpful song that helped me memorize it, if it helps (not rickroll trust)

haha why did it actually help tho

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Charizard_637

118 posts

Charizard_637

#14 h Mar 16, 2025, 2:33 AM

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$x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$

All you need to know is the minimum/maximum of a quadratic which is $\dfrac{-b}{2a}$ and memorize the discriminant of a function, and the $\pm$ sign, that's it

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KF329

453 posts

KF329

#15 h Mar 20, 2025, 8:27 AM

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$x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$

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KF329

453 posts

KF329

#16 h Mar 20, 2025, 8:28 AM

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That's cool to write

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sadas123

1306 posts

sadas123

#17 h Mar 20, 2025, 1:20 PM

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KF329 wrote:

That's cool to write

Latex genius :clap:

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Charizard_637

118 posts

Charizard_637

#18 h Mar 20, 2025, 1:55 PM

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KF329 wrote:

That's cool to write

no it is not it took me a full five minutes to fancy up the quadratic formula in $\LaTeX$ :sob:

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KF329

453 posts

KF329

#19 h Mar 22, 2025, 12:24 AM

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Nah I didn’t actually write it I just copied the latex from when u wrote it

I’m lazy ik

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giratina3

547 posts

giratina3

#20 h Mar 22, 2025, 4:25 AM

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You get used to the quadratic formula from Algebra 1 and on for the school curicullum. It becomes common knowledge when you go into AMC 10s, but if you're struggling to remember the quadratic formula, catchy songs always help... at least it did for me. I always have a song about the periodic table I sing whenever I'm bored, and the elements just come out of my mouth from thin air.

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KF329

453 posts

KF329

#21 h Mar 22, 2025, 10:37 AM

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Haha, same with me, I like to remember songs for things like the periodic table, as well as the digits of $\pi$ , but memorising the digits of $\pi$ might not be necessary

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cheltstudent

625 posts

cheltstudent

#22 h Mar 22, 2025, 11:40 AM

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I would say $nth$ vertex would be quite useful

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skronkmonster

2189 posts

skronkmonster

#23 h Mar 22, 2025, 3:28 PM

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anticodon wrote:

just complete the square if you aren't sure on the quadratic formula. Some problems are easier with CTS (ex - solving $x^2+4x+1=0$ ) so don't rely too heavily on formulas. Some equations are easily factorable.

For graphing, it is helpful to understand transformations of $f(x)=x^2$ and other parent functions; horizontal transformations always come first and do opposite operations in the opposite order of PEMDAS, etc.

Yep, I rarely use the quadratic formula when asked to solve a quadratic, because it’s so cumbersome. Not a good approach for math contests. Just complete the square unless you need to do otherwise. Useful functions: $f(x) = |x|, f(x) = x^3, f(x) = \sqrt{x}$ .

This post has been edited 1 time. Last edited by skronkmonster, Mar 22, 2025, 3:29 PM
Reason: Fix latex

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KF329

453 posts

KF329

#25 h Mar 23, 2025, 12:11 AM

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agreed

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cheltstudent

625 posts

cheltstudent

#26 h Mar 23, 2025, 11:33 AM

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Hello, I am a Quadratic Vieta user, and anything else seems really confusing for me.
Recommend some sort of AoPS resources that I could use to get better.
I am like at Chap 10 of intro to Algebra A.
I am in Grade 7, should I really know anything else?

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