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
Correct Answer: Option E
Explanation
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 & 5end{array})
The curves intersect at x = 1