Math 104, Solution to Quiz 8
Instructor: Guoliang Wu July 21, 2009
1. (15 points) Prove that the following equation has at least one real solution in (0,1): 3 2 ex = x + . 2 Proof. Let f (x) = ex (x + 3 ). Then f is continuous on [0, 1]. 2 3 1 = < 0; 2 2