Question

Which is the best approximation to a solution of the equation e x = 2x + 3?

0
1
2
3

Answer 1

The answer for 2x+3 is 3

Answer 2

Explanation:

Given that an equation in variable x as follows:

`e^x =2x+3`

Let us start with x=0

We have left side = 1 and right side = 3.

Error = 2

ii) x=1: left side = e =2.718 and right side = 6.

Error = 3.282

iii) x =2: Left side = 7.388 and right side = 7

Error = 0.388

iv) x=3

Left side = 20.079

Right side = 9

Error = 11.079

Since error is the least when x=0, we can say 0 is the best approximation.