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 $s$?
Portia solved the quadratic equation x2+(2√3)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+(2√3)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