SOLUTION: 2) e^x + 2x = 7 a) 1.424 b) 7 c) -1.621 d) 3.814 e) None of these

Question 121737: 2) e^x + 2x = 7

a) 1.424
b) 7
c) -1.621
d) 3.814
e) None of these
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since we have x as an exponent and it is also multiplied by some constant, there is no algebraic way to solve this. So a numerical approximation is the next best thing.

So if we graph and , we get

Graph of (red) and (green)

Now using the "intersect" feature on a calculator, we find that the two graphs intersect at the point (1.424, 7)

So the answer is 1.424 which means the choice is A)