here is a question our prof gave us:

Show that the equation X + e^(X) - 5 = 0 has only one root in the interval [1,2].

i graphed the equation and saw that it is between 1 and 2

but i cant calculate it for sum reason. any ideas how? can u solve it using regular algebra? i dont thing wer allowed using calc but if thers no other way, i mite jus use calc if thers a way lol.

thanks.