Math Is Fun Forum

Oculus8596

Banned

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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Bob

Administrator

Registered: 2010-06-20

Posts: 10,597

Re: Find Number to Complete the Square

Yes I do

Bob

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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
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Oculus8596

Banned

From: Great Lakes,Illinois

Registered: 2024-09-18

Posts: 126

Re: Find Number to Complete the Square

Yes I do

Bob

I found this problem to be interestingly simple.

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The best things in life are not always free.