@JoannaBlackwelder
Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.)
4x^2 + ___x + 49
Numerical Answers Expected!
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OpenStudy (gahm8684):
dont give me the answer only need an explanatipon of how to do it
OpenStudy (joannablackwelder):
Here is the formula:
(a + b)^2 = a^2 + 2ab + b^2
OpenStudy (joannablackwelder):
Can you find a and b?
OpenStudy (gahm8684):
but whats a
OpenStudy (joannablackwelder):
You are looking for a single term that is squared.
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OpenStudy (joannablackwelder):
what squared is 4x^2
OpenStudy (gahm8684):
(4x+b)^2=4x^2+2(4x^2)b+b^2
OpenStudy (gahm8684):
is it like this
OpenStudy (joannablackwelder):
Not quite.
OpenStudy (joannablackwelder):
(2x)^2 is 4x^2
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OpenStudy (joannablackwelder):
So 2x is a.
OpenStudy (joannablackwelder):
Does that make sense?
OpenStudy (gahm8684):
nope:c
OpenStudy (joannablackwelder):
We are using the a^2 + 2ab + b^2 part. Ignore the factored part for now.
OpenStudy (gahm8684):
what factor part;c
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OpenStudy (joannablackwelder):
So, the first term (4x^2) is the a^2 term.
OpenStudy (joannablackwelder):
(a + b)^2 This part.
OpenStudy (joannablackwelder):
Sorry, I meant the factored part of the formula.
OpenStudy (gahm8684):
oooh ok i get thanks man
OpenStudy (joannablackwelder):
No worries :) What did you get for the blank?
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