At what real value of x do the curves whose equations are y = x3 + x and y = x2 + 1 intersect?
A
-2
B
2
C
-1
D
9
E
1
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
y = x3 + x and y = x2 + 1
\(\begin{array}{c|c} x & -2 & -1 & 0 & 1 & 2 \\ \hline Y = x^3 + x & -10 & -2 & 0 & 2 & 10 \\ \hline y = x^2 + 1 & 5 & 2 & 1 & 2 & 5\end{array}\)
The curves intersect at x = 1
Source: Myschool Past Questions Archive (Record #32226)