ZachCharge's Year 11 (easy) Methods Questions

[ZachCharge]

Just for future reference how would I solve k by hand? Using CAS punching in I get [k doesn't equal 3, which would mean k<3 and k>3 (everything except 3). Just not sure what to do with without CAS lol.

[Flaming_Arrow]

it just means for what values of k is y>0

so any value apart from k=3(because its the x intercept where y=0) will give u a value > 0

[ZachCharge]

I know what it means I was just wondering how to do working out of by hand. Or is it that when it is  that k is always everything except x (to be greater than 0)?

[Flaming_Arrow]

yes thats right, draw it graph if it helps u visualise it

[ZachCharge]

Ah okay, thanks a lot for all the help, without you guys I'd be...screwed :p

[ZachCharge]

Okay, here is another question thats answer was...err, mysteriously blanked in the back of the book.

Sketch (bleh this exercise has put me behind by 3 days...couldn't be bothered sketching so many graphs, ended up only doing like 10 or so questions a day out of...laziness lol. Anyway.)

Just having trouble with the x-int
rearrange





?? Err, is that right? I am pretty sure it ain't...and the back of the book ain't very helpful lol.

Also, few graphs down, am having trouble with this question

I am not exactly sure what to do to get x-int. Help please 

Thanks

[iamdan08]

With finding the first x-intercept, you have almost got it right, except when you square root something you get both a positve and negative answer. SO it will be and

With

To find the x intercept let y=0:


(factorise)
now let (first intecept) and (solving gives x=-5)

So the x intercepts occur at x=0 and x=-5

[Damo17]

Okay, here is another question thats answer was...err, mysteriously blanked in the back of the book.

Sketch (bleh this exercise has put me behind by 3 days...couldn't be bothered sketching so many graphs, ended up only doing like 10 or so questions a day out of...laziness lol. Anyway.)

Just having trouble with the x-int
rearrange





?? Err, is that right? I am pretty sure it ain't...and the back of the book ain't very helpful lol.

Also, few graphs down, am having trouble with this question

I am not exactly sure what to do to get x-int. Help please 

Thanks

first:
Almost right, it is

second:





or

[ZachCharge]

Thanks, got it

I hopefully won't need help for...5 minutes lol.

[ZachCharge]

Okays, new question, kinda...

Tomorrow I got my first Year 11 (fake) SAC in Methods without a summary sheet or anything, on chapter about quadratics and stuff...

I'M SCARED WHAHAHAAH!

So what is best way to study, still make a summary sheet (or two) just to memorize everything?

[TrueTears]

Just go over your book and try to remember the concepts.

[ZachCharge]

Here are a couple new question that have been troubling me.

First, long division (or synthetic...I LOVE synthetic division lol). Divide by As it is I am not sure if I would have to do anything differently.

Second, how would you work backwords with long division. Question is; Find the value for k if the remainder is 12 when is divided by

Thanks

[Flaming_Arrow]

when its 2x just do x^3/2x = x^2/2

for the 2nd one

sub in x=2 and equate it to 12 and solve for k

[TrueTears]

Your second question.

Using remainder theorem.

let





solve for k

[ZachCharge]

Hail,

Its been about a month since last question...Anyway I am having trouble again;
Logarithms...we just started them and....bleh. Anyway it is; express each of the following in simplest form

a)

Yes it is first question out of set and...well I have no idea what to do. Book example confuses me and working out solution from download I have confuses me more...and for some reason the non CAS book has a different simplest log (but same answer, 4) as the CAS...

Also, how to I make subscript for latex? Thanks.