At what real value of x do the curves whose equations are y = x

^{3}+ x and y = x^{2}+ 1 intersect?-
**A.**

-2 -
**B.**

2 -
**C.**

-1 -
**D.**

9 -
**E.**

1

##### Correct Answer: Option E

##### Explanation

y = x^{3} + x and y = x^{2} + 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