Question

Two sets of equatic expressions are shown below in various forms:

Line 1: x^2 − x − 6 (x + 2)(x − 3) (x + 0.5)^2 − 6.25

Line 2: x^2 − x − 2 (x + 1)(x − 2) (x − 0.5)^2 − 2.25

Which line contains three equivalent expressions?
Line 1 only
Line 2 only
Both Line 1 and Line
2 Neither Line 1 nor Line 2

Answer 1

line 2 only?

Answer 2

simplify x^2-x-6
and x^2-x-2

Answer 3

is it line 2 only? @MedicalDoctor

Answer 4

Well my answer would be neither!

Answer 5

hm..

Answer 6

(x+2)(x-3) =-4

Answer 7

(x + 1)(x − 2) = 0

Answer 8

I forgot to say that we are going to say x = 2 in this case then we would come up with those two.

Answer 9

So line one would end up with an answer of zero and line two would end up with an answer of four.

Answer 10

Therefore neither are equivalent.

Answer 11

We need a bit of housekeeping here:

Two sets of equatic expressions are shown below in various forms:

Line 1: x^2 − x − 6 (x + 2)(x − 3) (x + 0.5)^2 − 6.25

Line 2: x^2 − x − 2 (x + 1)(x − 2) (x − 0.5)^2 − 2.25

I believe you mean QUADRATIC expressions (not equatic).

It's important that you separate the expressions in each line. How is one supposed to know where one of your expressions ends and another begins? Please, use separators, such as
" , " or " ; "

Answer 12

Line 1: x^2 − x − 6 (x + 2)(x − 3) (x + 0.5)^2 − 6.25

Line 2: x^2 − x − 2 (x + 1)(x − 2) (x − 0.5)^2 − 2.25

Answer 13

@mathmale there ^^ and my problem says equatic

Answer 14

Don't want to start a fight ;) but what does "equatic" mean? I'd bet that the person who wrote "equatic" didn't know much about either spelling or algebra.

Answer 15

I do insist that you separate the expressions within Line 2:

x^2 − x − 2 (x + 1)(x − 2) (x − 0.5)^2 − 2.25 ... otherwise, this problem is just not going to make much sense.

Answer 16

@mathmale hm im not sure maybe they didn't.

Line 2: x^2 − x − 2, (x + 1)(x − 2) , (x − 0.5)^2 − 2.25

and is this better?

Answer 17

So much better.

Now, let's multiply out each expression as necessary:

Line 2: x^2 − x − 2, (x + 1)(x − 2) , (x − 0.5)^2 − 2.25

First one is OK as is: x^2 - x - 2

Second one is x^2 - x -2.

You do the third one, please.

Answer 18

x^2−x−2 @mathmale

Answer 19

@mathmale

Answer 20

Sorry for the delay.

You are given two lines, each containing 3 expressions.
We have already discussed how to expand each of those expressions, so that they can be compared easily.

Have you been able to do that for both Lines 1 and 2?

supposedly, one of these two lines contains three expressions which are equivalent.

Answer 21

@mathmale would it be D then?

Answer 22

If you don't have 3 equivalent expressions in each line (considering both lines), then yes, D would be correct.