(x+6)(x−6)=x^2+cx+d
Find the values for integers c and d that makes the following equation true.
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
@Nnesha
OpenStudy (anonymous):
@Michele_Laino
OpenStudy (xapproachesinfinity):
foil the left side and equate
OpenStudy (anonymous):
my b didnt see u
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OpenStudy (anonymous):
soo how would tht go im still trying to get familiar with it
OpenStudy (xapproachesinfinity):
(x+6)(x-6)=x^2-36
OpenStudy (xapproachesinfinity):
you know that (a+b)(a-b)=a^2-b^2 yes ?
OpenStudy (anonymous):
wait where u get 32 from
OpenStudy (xapproachesinfinity):
difference of squares do you remember that formula?
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OpenStudy (anonymous):
uhhhhhhhhhhh maybe:/
OpenStudy (xapproachesinfinity):
no may be yes or no
OpenStudy (anonymous):
nope
OpenStudy (xapproachesinfinity):
ok let's go slow then
can you distribute (a+b)(a-b)
OpenStudy (anonymous):
yes
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OpenStudy (xapproachesinfinity):
ok go ahead
OpenStudy (anonymous):
a^2-b^2
OpenStudy (xapproachesinfinity):
ok what about (x+6)(x-6)
OpenStudy (anonymous):
x^2-16
OpenStudy (xapproachesinfinity):
where did 16 come from?
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OpenStudy (anonymous):
6+6 ohhh 6^2 soo x^2-6^2
OpenStudy (xapproachesinfinity):
does 6+6=6^2?
OpenStudy (anonymous):
no brain fart my b
OpenStudy (xapproachesinfinity):
and 6+6=12 not 16?
OpenStudy (xapproachesinfinity):
what is 6x6
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OpenStudy (anonymous):
36
OpenStudy (xapproachesinfinity):
ok! do you know that 6^2 is the same as 6x6
OpenStudy (anonymous):
yes
OpenStudy (xapproachesinfinity):
then why did you tell me 6+6=6^2?
OpenStudy (anonymous):
didnt mean to i ment to say x^2-6^2
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OpenStudy (xapproachesinfinity):
ok so x^-6^2=...
OpenStudy (anonymous):
u mean \[x ^{2}-6^{2}\]
OpenStudy (xapproachesinfinity):
yes
OpenStudy (xapproachesinfinity):
so \[x^2-6^2=x^2-36\] yes?
OpenStudy (anonymous):
(x+6)(x−6)
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OpenStudy (anonymous):
damn back at beginning
OpenStudy (xapproachesinfinity):
yes that's what we started with
\[(x+6)(x-6)=x^2-6^2=x^2-36\]
OpenStudy (anonymous):
ok thats better now i know where 36 came from
OpenStudy (xapproachesinfinity):
so we have now \[x^2-36=x^2+cx+d \]
OpenStudy (xapproachesinfinity):
do you know what coefficients mean?
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OpenStudy (anonymous):
2 pairs right
OpenStudy (xapproachesinfinity):
no
OpenStudy (xapproachesinfinity):
why are doing this if you don't any idea of what a coefficient mean?
did you not study this ?
OpenStudy (anonymous):
dang A number or symbol multiplied with a variable or an unknown quantity in an algebraic term.
OpenStudy (xapproachesinfinity):
ok yes that is a coef
now tell me the coefficients of this expression \[x^2+cx+d\]
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OpenStudy (anonymous):
x?
OpenStudy (xapproachesinfinity):
well x is the variable or unknown it can't be a coefficient
OpenStudy (anonymous):
idk
OpenStudy (xapproachesinfinity):
the coefficient for this expression are 1, c and d
OpenStudy (anonymous):
ok
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OpenStudy (xapproachesinfinity):
read that definition of a coefficient and see if this is true
a coefficient is a number or symbol that is multiplied to unknown
1 is multilpied to x^2
c is multiplied to x
d is multiplied to x^0 (hidden unknown )
OpenStudy (xapproachesinfinity):
ok if you understand the concept what are the coefficients of this one x^2-36
OpenStudy (anonymous):
yes its true
OpenStudy (anonymous):
uhhhh x,2,36
OpenStudy (xapproachesinfinity):
incorrect
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OpenStudy (xapproachesinfinity):
x is unknown 2 is a power not a coeff
36 is good but you missed - sign
OpenStudy (anonymous):
hmmmk
OpenStudy (xapproachesinfinity):
go watch some tutorial videos about this you need to wok on this before you try this problem
OpenStudy (anonymous):
ight
OpenStudy (xapproachesinfinity):
i could give you the answer but no point in that if you don't got why it is the correct one
first get the basics and then go to this level of problem
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