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Portia solved the quadratic equation $x^2+(2\sqrt3)x+1=0$ by completing the square. In the process, she came up with the equivalent equation (x+r)2=s,where $r$ and $s$ are constants. What is $s$?

 Jun 3, 2018
 #1
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Portia solved the quadratic equation x2+(23)x+1=0 by completing the square. In the process, she came up with the equivalent equation (x+r)2=s,where r and s are constants. What is s?

 

If you don't know how to complete a square, check out this website: https://www.mathsisfun.com/algebra/completing-square.html

 

However, if you're just stuck on this question, you can view my solution here:

 

We can complete the square by adding 2 to both sides. 

 

x2+(23)x+3=2(x+3)2=2

From this, we can tell:

 

r=3s=2

 

The answer you seek is 2, 

 

I hope this helped,

 

Gavin

 Jun 3, 2018

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