- anonymous

how is factoring used to solve quadratic equations. Need to demonstrate the process with an example to show.

- jamiebookeater

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- anonymous

hi nikki

- anonymous

factoring is used every day

- anonymous

Hi

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## More answers

- anonymous

wazzup?

- anonymous

you asked the same question twice

- anonymous

Just having trouble with this class

- anonymous

ok

- anonymous

I know...for some reason, it happened

- anonymous

well if you throw a baseball with initial velocity v0, and initial height y0, you will need to factor to find when it hits the ground

- anonymous

huh?

- anonymous

the height of the ball is y = -1/2 gt^2 + vo*t + y0 , where g is your acceleration due to gravity (makes the ball come back to ground)

- amistre64

you wanna know about factoring right?

- anonymous

you asked where do we factor? when we solve trajectory problems you dummy

- anonymous

ask me huh again, i dare you

- anonymous

wow...that is mean

- anonymous

im not getting paid after all

- anonymous

amistre, super hero? wow

- anonymous

how is factoring used to solve quadratic equations. Need to demonstrate the process with an example to show. Is what I asked...I just do not understand what they want from me...

- amistre64

solving for any "roots" or "zeros" of an equation, what we are doing is finding all the places that the graph hits the x axis because y = 0 there.

- anonymous

amistre, its useless

- anonymous

he will just say "huh"

- amistre64

with quadratics, the line of the graph bends in such a manner that it can cross the x axis twis, so there may be at most 2 zeros to solve.

- anonymous

hmmm, i might have misread the question after all, my bad

- anonymous

amistre, can you solve the surface area of a torus, using integral 2pi y dS?

- anonymous

amistre, check the discriminant b^2 - 4ac, there are three cases

- amistre64

for example, can you see the place that this quadratic curve touches the x axis in two spots?

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- anonymous

amistre, youre like god here. is youre mathematical knowledge proportionate to your score?

- anonymous

I appreciate all the help...I did not understand what they wanted...I'm sorry if it made anyone mad...

- amistre64

im just an idiot in disguise ;)

- anonymous

nikki, no one is mad :)

- anonymous

sometimes im mean, but im not mad :)

- anonymous

I am not a guy either...lol

- anonymous

oh sorry

- anonymous

wait, so youre a goddess :)

- anonymous

Its ok...sometimes I just do not get this stuff...I want to...it just does not happen...Not a math person...

- anonymous

amistre, surface area integrals. driving me nuts!!!

- anonymous

A mother of 2

- anonymous

i have it here on twiddla http://www.twiddla.com/521818

- amistre64

when we factor the quadratic equation we get if "two" component parts that multiplied to get it:
for example:
x^2 +6x +8 is a quadratic expression right?

- anonymous

i think the student is lost in the math jargon. it happens

- anonymous

I think so

- amistre64

surface area integrals tend to be of the "ln(sec+tan)" variety right?

- anonymous

I HATE MATH!!!!!!!! Just sayin!

- anonymous

hmmm, not really , could be, check this link http://www.twiddla.com/521818 i posted the problem

- anonymous

nikki, you dont hate math. you just want things to be logical. i understand

- amistre64

Nikki: when we "factor" the quadratic we get this:
(x+2)(x+4) = 0 we make it equal to zero because we want to know what x is when y = 0

- amistre64

cantor; ill check it out in abit ;)

- anonymous

thanks

- anonymous

nikki, whats a quadratic equation> what it means to "solve quadratic equation"

- anonymous

Oh yes...logical would be great:) I am one that needs to get it right now, I am a perfectionist and this is not helping anything, throws me off...very frustrating!

- anonymous

ok , slow down. ok lets get the jargon straight

- anonymous

a quadratic equation is generally y = ax^2 + bx + c

- anonymous

ill show how factoring helps later to solve, but what does it mean to solve a quadratic equation. this is more jargon or math lingo

- amistre64

Nikki: we know that any number when multiplied by "0" = 0 right?
for example:
3(0) = 0
34(0) = 0
r2d2(0)= 0
you with me?

- anonymous

sure...

- anonymous

amistre, want to chime in. what it means to "solve quadratic equation"

- amistre64

cantor, to find their roots :)

- anonymous

ok

- anonymous

the roots are the x solutions such that ax^2 + bx + c = 0

- amistre64

Nikki;
then when we have the factored form of a quadratic, we know that one or the other has to equal zero in order for function to equal zero.
tell me:
(x+4)(0) = 0 ?
does
(0)(x+2) = 0?

- anonymous

ok, i got lost there for a second. ok a quadratic equation in x is ax^2 + bx + c = some number, correct? a quadratic function i think would be y = ax^2 + bx + c , because now you have y is a function of x

- anonymous

ok...I think I got it....hopefully:) Thanks for all your help!

- anonymous

amistre, ill politely bow out of here, but please check my twiddla

- amistre64

ill be there shortly, and maybe I can even be helpful ;)

- anonymous

oh i didnt state the question, one sec

- anonymous

surface area of a torus. it is
generated by circle with radius r , off center. Suppose
the circle is centered at (x - R)^2 + y^2 = r^2, and R> r. so the distance from (0,0) to the center of the
circle is (R,0) which has radius r.
Ok the integral i got is
int 2pi y sqrt [ 1+ (dy/dx)^2] = int 2pi sqrt ( r^2 - (
x-R)^2) [ 1 + (-2(x-R)/(2sqrt( r^2 - ( x-R)^2) ^2 ]

- anonymous

Is this to me?

- amistre64

Nikki;
the factored form allows us to "see" into the quadratic, and know quite easily what the solutions are.
(x+4)(x+2) = 0
x = -4 or x = -2 because both these solutions makes one or the other a (0) right?

- anonymous

yeah

- amistre64

ack!!...a torus surface..... lol

- amistre64

Nikki: then that is all ther eis to it, I just hope you can make sense of it between the posting lol

- anonymous

I am so confused...not sure if it was all for me or for you guys?lol

- anonymous

well i have two ways to solve it, one way works, the other doesnt,
int 2pi y ( 1 + dy/dx^2) dx , that doesnt work,
but int 2pi x ( 1 + dx/dy^2) dy that works. not sure why

- anonymous

nikki, ok i will start over , want to do this? ARE YOU READY!!!

- anonymous

YES! Sorry...

- anonymous

oh no im gonna miss jay leno

- anonymous

ok , uno momento

- anonymous

I am glad I have DVR

- anonymous

what do you watch?

- anonymous

a lot of shows, I really like greys and things like that...so I record them so I do not have to watch all the commercials

- amistre64

I see the equations..... wheres the torus?

- anonymous

ok whats a quadratic equation
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is
ax^2 + bx + c = 0

- myininaya

cantorset, i wrote log3(n)

- anonymous

Are you still there?

- anonymous

hey
sorry

- anonymous

Its ok....I have to figure out an example for this, and I guess I am not getting this as much as I wanted to be or thought...

- anonymous

give me 5 minutes

- anonymous

ok....I appreciate your help...I really do.

- anonymous

I will go check on my daughters

- anonymous

ok I'm back.....

- amistre64

welcome back :)

- anonymous

Thanks! I am trying to figure out how some get this math stuff, and then there is me...who has no idea and thinks I get it and then does not...

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