Medal and fan !!
24-38 evens
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?
Thanks but i only have to do 24-38 evens
@zepdrix
\[\large\rm x^2-8x+12=0\]What's going on potassium floride? You gotta solve this? :d
lol yea
Remember how to factor n stuff? D:
yea a little
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?
6 and 2
6*2=12 6+2=8
Ooo there we go. -6*-2=12 -6+-2=-8
Ok great so our polynomial will factor as such,\[\large\rm (x-6)(x-2)=0\]
oh ok
is that the answer?
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.
ok so (x-6)=0 is x=6
and (x-2)=0 x=2
yay good job
wow thats so easy.. I thought it was so much more complicated
All of the trinomials will work out like that. 34 and 36 will be different though (easier), notice they only have 2 terms.
30 as well :d
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
Ooo you're thinking backwards. `multiply to equal -35` `add to equal 2`
oh ok
Find two multiples of -35 which are 2 apart from one another.
ok.. um
nothing
uh my brain is hurting
Hmm 35 should be pretty easy XD it only has one set of non-prime factors
35 = 7*5 and 7 and 5 are 2 units apart, yes?
ohhhhh i was thinking 6 and 5 by accident.. wow i feel so stupid
ok yes your are right
So how do we get -35 and +2. You gotta work with negatives somehow.
@zepdrix sorry i am confused now
-7+ -5 is -12 not 2
@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.
oh ok got it !
What did u say about what i have to do for questions like 30
@zepdrix
\[\large\rm n^2-6n=0\]Pull the common factor out of each term. Hmm looks like they have `n` in common, ya?
\[\large\rm n(n-6)=0\]
oh ok and then what @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.
n=0 and n=6
thats it? wow
yes
what about 34... it doesnt = 0?
@zepdrix
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