Question

Help please!!!!!

Answer 1

Given the following perfect square trinomial, fill in the missing term.

x2 − 16x + ____

Numerical Answers Expected!

Answer for Blank 1:

Answer 2

hint:
you have to search for a number \(k\) such that, the subsequent condition holds:
\(2k=-8\)

Answer 3

it is the first step

Answer 4

okay

Answer 5

so, from my equation above, we have to compute this:
\[\huge k = - \frac{8}{2} = ...?\]

Answer 6

\[x^2-16 x+64=(x-8)^2 \]

Answer 7

I am lost, I do not know how to solve that.

Answer 8

the result for your equation would be -4 right? @Michele_Laino

Answer 9

oops.. you are right @robtobey
I'm sorry @FEARLESS_JOCEY , I have made an error, the right formula, is:
\[\huge 2k = - 16 \Rightarrow k = - \frac{{16}}{2} = ...?\]

Answer 10

-8 ?

Answer 11

that's right!
Now, the missing number is: \(k^2=(-8)^2=...?\)

Answer 12

It is always 1/2 of the cooefficient of x, squared.
I memorized the above from first year algebra years ago.

Answer 13

I mean 64?

Answer 14

Thta's right!! :) @FEARLESS_JOCEY
thanks!! :) for your reply @robtobey

Answer 15

THanks to the both of you, both of you were very helpful!

Answer 16

:)

Answer 17

Your welcome.