Question

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

Line 1: x2 − x − 6 (x + 2)(x − 3) (x + 0.5)2 − 6.25
Line 2: x2 − x − 2 (x + 1)(x − 2) (x − 0.5)2 − 2.25

Which line contains three equivalent expressions?

Answer 1

Only number 2 contains three equivalent expressions

Answer 2

1)
x²-x-6=(x+2)(x-3)
(x+0.5)²-6.25 =[x²+x+0.25]-6.25
=x²+x-6={x-3}{x+2}



2)
x²-x-2=(x+1)(x-2)
=(x-0.5)²-2.25={x²-x+0.25}-2.25
={x²-x-2}={x+1}{x-2}