how to solve step by step by completing the square

Question

x²+2x+__

Answer 1

Hello Britt...

 

Hey, where is the rest of the problem??? Is there an equal sign??

 

First, we must identify a,b, and c.  I am going to change this problem to x^2+2x= Some Number

 

a=1

b=2

 

What you need to do is take the b value, divided by 2, and then square that answer.. This is the number that you must add to both sides of the equation. (b/2)^2 = (2/2)^2= 1^2= 1.  So add 1 to both sides.

 

x^2+2x+1= Some Number+1

X^2+2x+1= 1                                                  Factoring

(x+1)^2 = Some Number +1                             Take the square root of both sides

 x+1      =  +/- [sq. rt. (Some Number +1)]        Subtract 1 from both sides

           x=  +/- [sq. rt. (Some Number +10] -1

 

Remember, that Some Number is the number that I think you are missing.

 

As always I am glad to help out.  And keep asking questions.

 

D.Y. Taylor

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