Find the value that completed the square and then rewrite as a perfect square.
z^2-19z+_

Question

Find the value that completed the square and then rewrite as a perfect square.
z^2-19z+_

agent0smith · Answer

To complete the square for ax^2 + bx + _, just divide b by 2, and square that.

So here, first divide -19 by 2, then square that result.

anonymous · Answer

thankyou

anonymous · Answer

but wait you can't square root a negitive number?

agent0smith · Answer

You're not square rooting it. You're squaring it.

anonymous · Answer

oh okay, my bad

anonymous · Answer

The answer was supposed to be 361/4;(z-19/2)^2 .. and I didn't get that when I tried..

agent0smith · Answer

That's because that's the final answer. The first step is just getting this:$$\Large \left( \frac{ -19 }{ 2 } \right)^2$$

anonymous · Answer

how did they get the 361/4?

anonymous · Answer

@agent0smith

agent0smith · Answer

Square this and find out: $$\Large \left( \frac{ -19 }{ 2 } \right)^2 = \frac{ (-19)^2 }{ 2^2 }$$