Answer:
No! {-2, 1} is not a solution set to the given equation.
Explanation:
The statement X squared take away 2X Takeaway three equals X take away one can be written in mathematical terms as follows:
X² - 2X - 3 = X - 1
⇒ X² - 2X - 3 - X + 1 =0
⇒ X² - 3X - 2 = 0
Now, substitute x= -2 and see if the equation is satisfied.
⇒ (-2)² -3(-2) - 2 = 4 + 6 - 2
= 8 ≠ 0
So, -2 is not a solution to the equation.
Now, check for x = 1.
⇒ (1)² - 3(1) - 2 = 1 - 3 - 2
= -4 ≠ 0
⇒ x = 1 is not a solution as well.