Mathematics
4 Online
OpenStudy (anonymous):
find the zeroes and state the multiplicity of multiple zeroes
y=(x+1)^2 (x-1) (x-2)
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jhonyy9 (jhonyy9):
do you know when will be this equation equal zero ?
jhonyy9 (jhonyy9):
so when one from these factors will be equal zero
so do you know how you get the zeroes of these factors ?
OpenStudy (anonymous):
no
jhonyy9 (jhonyy9):
so in this way --- separated make every parentheses equal zero :
(x+1)^2 = 0 -and solve it for x
same like the first
x-1=0
and
x-2=0
jhonyy9 (jhonyy9):
can you solve it ?
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OpenStudy (anonymous):
x=1
x=1
x=2
OpenStudy (anonymous):
x=-1
jhonyy9 (jhonyy9):
no
step by step
1. (x+1)=0
jhonyy9 (jhonyy9):
sorry
(x+1)^2 =0
jhonyy9 (jhonyy9):
courage - this is easy
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OpenStudy (anonymous):
is it not -1
jhonyy9 (jhonyy9):
so (x+1)^2 =0
yes x=-1 is right
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
how do i find the multiplicities
jhonyy9 (jhonyy9):
but there are again two zeroes what you need calculi again
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jhonyy9 (jhonyy9):
x=-1 is the first one you need getting again two
OpenStudy (anonymous):
getting again two?
jhonyy9 (jhonyy9):
just make equal zero the second and 3rd parentheses and calculi for x
jhonyy9 (jhonyy9):
exactly how you have solved the first
OpenStudy (anonymous):
x=1
x=2
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jhonyy9 (jhonyy9):
x-1=0
x=?
OpenStudy (anonymous):
1
jhonyy9 (jhonyy9):
yes 1 and 2 right sure
jhonyy9 (jhonyy9):
so than now what are zeroes of this equation ?
OpenStudy (anonymous):
-1, 1, 2
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jhonyy9 (jhonyy9):
yes - and what mean multiplicity of them ?
OpenStudy (anonymous):
i dont know what that means