Question

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

Answer 1

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.

Answer 2

thankyou

Answer 3

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

Answer 4

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

Answer 5

oh okay, my bad

Answer 6

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

Answer 7

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

Answer 8

how did they get the 361/4?

Answer 9

@agent0smith

Answer 10

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