# Completing the square

How do you complete the square of $$\displaystyle (-2y^2 +2yz -z^2)/2$$

into the form $$\displaystyle -(a((x-b)^2))/2$$

Last edited:

#### skeeter

MHF Helper
How do you complete the square of $$\displaystyle (-2y^2 +2yz -z^2)/2$$

$$\displaystyle \frac{-2y^2 + 2yz - z^2}{2}$$

$$\displaystyle -\frac{y^2 + y^2 - 2yz + z^2}{2}$$

$$\displaystyle -\frac{y^2 + (y-z)^2}{2}$$

... that's about all i could do with it.

thanks

Any other ideas?

#### mr fantastic

MHF Hall of Fame
How do you complete the square of $$\displaystyle (-2y^2 +2yz -z^2)/2$$

into the form $$\displaystyle -(a((x-b)^2))/2$$