Question

These first 2 questions are the only questions on the entire assignment that I cannot figure out, can you please help? THANKS! (will post below)

Answer 1

Hints:
Completing the square:
step 1:
divide the whole expression by the coefficient of x^2,
So if we have 2x^2+8x+...., we rewrite as 2(x^2+4x+...)
In these cases, the coefficients are both one, so we're ready for step 2.
step 2:
Work inside the brackets:
the constant term required to complete the square is half of the coefficient of x, all squared.
Example:
3(x^2+6x+K)
then K=(6/2)^2=9
and we have a perfect square:
3(x^2+6x+9)
=3(x+3)^2

or
x^2-7x+....
=x^2-7x+(7/2)^2
=(x^2-7/2)^2

Answer 2

@Bookworm14 are you there?

Answer 3

sorry @mathmate My computer froze im going to look over this now

Answer 4

Is it
1. A
2. D @mathmate

Answer 5

Did you work those answers out? If you did, you would realize that the constant term you add is equal to ( half the coefficient of x )^2.
Whether the coefficient of x is positive or negative, the square is always positive.

One more thing, when you check your answer, I would like you to type out the answer and CHECK your own answer as you type it out. This will reduce mistakes because you will check it one more time, and you will have to be responsible for the answer.

Answer 6

#1
x^2 - 11x + ___
-11 /2 = -5.5
-5.5^2 = -30.25 OR -121/4
x^2-11x+ (-121/4)

Ohh its positive because I squared it? so it should be positive 121/4 ??

#2
x^2+19x+___
19/2 = 9.5
9.5 ^2 = 90.25 OR 361 / 4
x^2 + 19x + 361/4

Is this how it is done or no?

Answer 7

@TheSmartOne @jim_thompson5910 is the correct answer for these
1. D
2. D or am i wrong again?

Answer 8

One more thing, when you check your answer, I would like you to type out the answer and CHECK your own answer as you type it out. This will reduce mistakes because you will check it one more time, and you will have to be responsible for the answer.

Answer 9

@bookwork14
Remember, when you square the product of two numbers, both are squared.
for example,
\((ab)^2=a^2b^2\)
Similarly,
(-2)^2=(-2)*(-2)=(-1)(-1)(2)(2)=+4.
In completing the square, the constant is always added on because of the squaring.

Answer 10

So, D and D are correct.

Answer 11

Fwew, alright I think I am getting the hang of this now! Thank you!

Answer 12

Well done!
You're welcome! :)