Determine the number that should be added to complete the square of the expression. Then factor the expression.
x^(2) + (1/2)x
Complete the square. What is the resulting perfect square trinomial?
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OpenStudy (lgbasallote):
again...divide 1/2 by 2
OpenStudy (anonymous):
1/4
OpenStudy (lgbasallote):
now what is (1/4 )^2
OpenStudy (anonymous):
.0625
OpenStudy (lgbasallote):
uhh use fraction form
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OpenStudy (anonymous):
1/16
OpenStudy (lgbasallote):
right so the trinomial is
x^2 + 1/2 x + 1/16
OpenStudy (anonymous):
and so how would you factor that?
OpenStudy (lgbasallote):
what do you thinl?
OpenStudy (lgbasallote):
think*
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OpenStudy (anonymous):
I'm really not sure with fractions
OpenStudy (lgbasallote):
divide 1/2 by 2
OpenStudy (anonymous):
1/4
OpenStudy (lgbasallote):
right...so the factor is what?
OpenStudy (anonymous):
Uhh, (x+1/4) (x-1/4)? Idk :c
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OpenStudy (lgbasallote):
remember a while ago...
you had x^2 - 22x + 121
the factored form was (x - 11)^2
so what would be the factored form for x^2 + 1/2 x + 1/16
OpenStudy (anonymous):
(x-1/4)^2?
OpenStudy (lgbasallote):
nope..it's + it was only minus before because -22 was minus...this time 1/2 is + so it's (x+1/2)^2
got it?