PLAESE HELPTwo sets of equatic expressions are shown below in various forms:Line 1: x2 − x − 6 (x + 2)(x − 3) (x + 0.5)2 − 6.25Line 2: x2 − x − 2 (x + 1)(x − 2) (x − 0.5)2 − 2.25Which line contains three equivalent expressions? Line 1 only Line 2 only Both Line 1 and Line 2 Neither Line 1 nor Line 2

Question
Answer:

Ok well let's start with line 1:

(x + 2)(x - 3) = x^2 - x - 6 (this works so far)
(x + 0.5)^2 - 6.25 = x^2 + x + 0.25 - 6.25
= x^2 + x - 6 (this is not equal to x^2 - x - 6 so Line 1 is not an answer)

Now for line 2:


(x + 1)(x - 2) = x^2 - x - 2 (this works so far)
(x - 0.5)^2 - 2.25 = x^2 - x + 0.25 - 2.25
= x^2 - x - 2 (this also works)
Therefor Line 2 only is the answer
solved
general 10 months ago 4372