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Mathematics 27 Online
OpenStudy (pflori1234_pop):

Medal and fan !!

OpenStudy (pflori1234_pop):

OpenStudy (pflori1234_pop):

24-38 evens

OpenStudy (mathmale):

Happy to help, but expect you to get started and to share some of your own work first. In regard to #33: This quadratic equation is not in standard form. Move the 54 from the right side to the left side by subtracting 54 from both sides of the original equation. Type out your result. Next, think of what you have done in the past to factor quadratic equations. What would your first move be?

OpenStudy (pflori1234_pop):

Thanks but i only have to do 24-38 evens

OpenStudy (pflori1234_pop):

@zepdrix

zepdrix (zepdrix):

\[\large\rm x^2-8x+12=0\]What's going on potassium floride? You gotta solve this? :d

OpenStudy (pflori1234_pop):

lol yea

zepdrix (zepdrix):

Remember how to factor n stuff? D:

OpenStudy (pflori1234_pop):

yea a little

zepdrix (zepdrix):

We need factors of 12, that add to -8, 12 = -3*-4 Hmm but -3+-4 does not give us -8. 12 = -12*-1 Hmm but -12+-1 does not give us -8. Any other factors we can try?

OpenStudy (pflori1234_pop):

6 and 2

OpenStudy (pflori1234_pop):

6*2=12 6+2=8

zepdrix (zepdrix):

Ooo there we go. -6*-2=12 -6+-2=-8

zepdrix (zepdrix):

Ok great so our polynomial will factor as such,\[\large\rm (x-6)(x-2)=0\]

OpenStudy (pflori1234_pop):

oh ok

OpenStudy (pflori1234_pop):

is that the answer?

zepdrix (zepdrix):

From this nice factored form, we can find our solutions easier. Apply your Zero-Factor Property: \(\large\rm (x-6)=0\qquad\) and \(\large\rm \qquad (x-2)=0\) Solve for x in each case.

OpenStudy (pflori1234_pop):

ok so (x-6)=0 is x=6

OpenStudy (pflori1234_pop):

and (x-2)=0 x=2

zepdrix (zepdrix):

yay good job

OpenStudy (pflori1234_pop):

wow thats so easy.. I thought it was so much more complicated

zepdrix (zepdrix):

All of the trinomials will work out like that. 34 and 36 will be different though (easier), notice they only have 2 terms.

zepdrix (zepdrix):

30 as well :d

OpenStudy (pflori1234_pop):

ok so now i have to do number 26... 2 and -35 So what multiply to equal 2 and adds to equal 35... wait nothing

zepdrix (zepdrix):

Ooo you're thinking backwards. `multiply to equal -35` `add to equal 2`

OpenStudy (pflori1234_pop):

oh ok

zepdrix (zepdrix):

Find two multiples of -35 which are 2 apart from one another.

OpenStudy (pflori1234_pop):

ok.. um

OpenStudy (pflori1234_pop):

nothing

OpenStudy (pflori1234_pop):

uh my brain is hurting

zepdrix (zepdrix):

Hmm 35 should be pretty easy XD it only has one set of non-prime factors

zepdrix (zepdrix):

35 = 7*5 and 7 and 5 are 2 units apart, yes?

OpenStudy (pflori1234_pop):

ohhhhh i was thinking 6 and 5 by accident.. wow i feel so stupid

OpenStudy (pflori1234_pop):

ok yes your are right

zepdrix (zepdrix):

So how do we get -35 and +2. You gotta work with negatives somehow.

OpenStudy (pflori1234_pop):

@zepdrix sorry i am confused now

OpenStudy (pflori1234_pop):

-7+ -5 is -12 not 2

OpenStudy (pflori1234_pop):

@zepdrix

zepdrix (zepdrix):

\(\large\rm -7\cdot-5=35\) This doesn't give us the -35 that we need. Multiplying two negatives together gives us a positive. So I guess this is telling us that ONE OF the values needs to be negative, ya? \(\large\rm -7\cdot5=-35\) \(\large\rm 7\cdot-5=-35\) So we want one of those two sets of numbers.

OpenStudy (pflori1234_pop):

oh ok got it !

OpenStudy (pflori1234_pop):

What did u say about what i have to do for questions like 30

OpenStudy (pflori1234_pop):

@zepdrix

zepdrix (zepdrix):

\[\large\rm n^2-6n=0\]Pull the common factor out of each term. Hmm looks like they have `n` in common, ya?

zepdrix (zepdrix):

\[\large\rm n(n-6)=0\]

OpenStudy (pflori1234_pop):

oh ok and then what @zepdrix

zepdrix (zepdrix):

Again, apply your Zero-Factor Property, setting each individual factor equal to 0, \(\large\rm n=0\qquad\) and \(\large\rm \qquad(n-6)=0\) and solve for n in each case.

OpenStudy (pflori1234_pop):

n=0 and n=6

OpenStudy (pflori1234_pop):

thats it? wow

zepdrix (zepdrix):

yes

OpenStudy (pflori1234_pop):

what about 34... it doesnt = 0?

OpenStudy (pflori1234_pop):

@zepdrix

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