Question

solve 52x+2e^(3x)=4

Answer 1

What problems are you having with it?

Answer 2

use numerical methods technique to solve these equations

Answer 3

find x please

Answer 4

You give it a shot and I'll help you if you need it

Answer 5

First of all for solving this question do you know the conception of : Theory of Equations

And after doing that, I personally guarantee that you can on your own solve this particular question.
I personally believe, the happiness of solving Mathematics on our is much better.

Answer 6

help me please

Answer 7

this q looks hard

Answer 8

Mr goformit100, thanks alottttttttttttttttttttt!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 9

Yeah you have to use something like Newton's method for this

Answer 10

\[ 52x+2e^{3x}=4 \\ \\ 52x=4-2e^{3x} \\ \\ x=\frac{2-e^{3x}}{26}\]

Answer 11

\[\huge x_{n+1}=\frac{2-e^{3x_n}}{26}\]

Answer 12

Then just keep iterating...

Answer 13

thanks sam, but are you sure there is a uniqe method?

Answer 14

this method is very long and looks boring! i think there is a another way

Answer 15

There are other methods but I used this to solve it

Answer 16

When you substitute x=1, or \(x_1\), you get
\[x_1=-0.695597\]
Then take \(x_1\) answer and substitute back into equation to find \(x_2\), you get
\[x_2=\frac{2-e^{3(-0.695597)}}{26}=0.072150597\]
Then do that until you get a constant answer
\[x_3=0.029166 \\ \\ x_4=0.034944 \\ \\ x_5=0.03421 \\ \\ x_6=0.0343044 \\ \\ x_7= 0.0342925\]
Then the final you'll get for "x" is approximated to
\[x \approx 0.034 \]

Answer 17

Maybe it has something to do with what you were taught recently, @sima.r ?

Answer 18

thanks, your final answer is correct

Answer 19

terenzreignz, its not my question, its my friend's question!

Answer 20

Understood :)