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Hello..
What are you trying to find?
complete the square?
I am here for the same.. :)
I am interested in learning the concept, because I got an entire page of these
divide off the 3 and you have a 'usual' looking setup
Amistre is well experienced than me, If I am not allowing him to teach you, then I am spoiling your future.. :P
now the key is in understanding what a complete square looks like to start with (x+n)^2 is a perfect square ... what do we get when we expand it?
(x+n)(x+n) = x^2 + 2nx + n^2
when we compare a perfect square to some trinomial ... x^2 + bx + c = x^2 +2n x + n^2 2n = b, giving us n = b/2 right?
the number to add therefore is n^2 = (b/2)^2
3x^2 + 8x + __ = -1 + ____ 3(x^2 + 8/3 x + __) = -1 + ____ n = (8/3)/2 lets add/subtract in [(8/3)/2]^2 3(x^2 + 8/3 x + (8/6)^2 - (8/6)^2) = -1 + ____
.. you said you understood so far ...
(x+n)(x+n) = x^2 + 2nx + n^2 when we compare a perfect square to some trinomial ... x^2 + bx + c = x^2 +2n x + n^2 2n = b, giving us n = b/2
since your case gives us b=8/3 ... what do we determine?
that fine as well :)
now we need to add/subtract n^2 to 'complete the square'
x^2 + bx + c +n^2 - n^2 (x+n)^2 + c - n^2
this is a process yes
to apply it 3((x+4/3)^2 - (4/3)^2) = -1 + ______ 3(x+4/3)^2 - 3(4/3)^2 = -1 + ______ 3(x+4/3)^2 - 16/3 = -1 + ______ 3(x+4/3)^2 -13/3 - 3/3 = -1 + ______ 3(x+4/3)^2 -13/3 = ______ but thats all i can make of this really
it may help to detemrine how i need to go with it yes
ok, now im wondering what the quesiton is asking for ... can you provide a picture of it to eliminate any loss in translation
are the blanks on the left and the right spose to be the same value?
then yeah, draw it out the best you can
good luck
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