Which of the following equations can be solved by the points of intersection P and Q of the curve and the line PQ?
Attached Figure / Diagram
A
x2 - 2 = 0
B
x2 - 4 = 0
C
x2 + 6 = 0
D
X2 - X – 2 = 0
E
x2 - x + 4 = 0
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
The points of intersection of the curve and the line are at x = -2 and x = 2.
\(\therefore\) (x + 2) = 0; (x - 2) = 0.
(x + 2)(x - 2) = 0
\(x^2 - 4 = 0\)
Source: Myschool Past Questions Archive (Record #23496)