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#1 2024-09-24 02:48:14

Oculus8596
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From: Great Lakes,Illinois
Registered: 2024-09-18
Posts: 126

Find Number to Complete the Square

Determine the number that should be added to complete the square of each expression. Then factor each expression.


A. p^2 + 14p


B. x^2 + (1/3)x


Question A


Divide 14 by 2 and square the quotient.


So, (14/7)^2 = (7)^2 = 49


The number that should be added is 49.


p^2 + 14p + 49 factors put to be (p + 7)(p + 7) or (p + )^2.


Question B


Same steps as shown for Question A.


(1/3) ÷ 2


(1/3) (1/2) = 1/6


(1/6)^2 = 1/36.


The number that sould be added is 1/36.


x^2 + (1/3)x + (1/36) factors out to be (x + 1/6)(x + 1/6) or


(x + 1/6)^2.


Do you agree with my work?


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#2 2024-09-24 04:00:47

Bob
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Registered: 2010-06-20
Posts: 10,583

Re: Find Number to Complete the Square

Yes I do

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2024-09-24 12:05:03

Oculus8596
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From: Great Lakes,Illinois
Registered: 2024-09-18
Posts: 126

Re: Find Number to Complete the Square

Bob wrote:

Yes I do

Bob

I found this problem to be interestingly simple.


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