# Thread: Need help completing the square

1. ## Need help completing the square

I'm working on homework for completing the square, and I've hit a wall with the last problem. No matter how many different ways I attack the problem, I end up needing to take the square root of a negative to proceed. Could someone point me in the right direction here?

2. ... which means that your equation does not have a solution.

You're not doing anything wrong.

-O

3. Originally Posted by ChrisEffinSmith
I'm working on homework for completing the square, and I've hit a wall with the last problem. No matter how many different ways I attack the problem, I end up needing to take the square root of a negative to proceed. Could someone point me in the right direction here?
$\displaystyle 4x^2 + x + 11 = 0$.

Why not check the discriminant to see if there exists any solutions.

$\displaystyle \Delta = 1^2 - 4(4)(11)$

$\displaystyle \Delta = 1 - 176$

$\displaystyle \Delta = -175 < 0 \implies$ there are no solutions.