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More on Numerical Methods

  • #1
1,444
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Find the intervals containing solutions to the following equation

[tex] 4x^2 - e^x = 0 [/tex]
I haven o clue on where to start really?
WOuldi expand e^x using taylor series? i mean one could do this
[tex] x - 2ln x = ln 4 [/tex]
so then would i do log expansion by taylor series? Or would i use bisection method? But how owuld i pick the two points for bisection method? Please assist!

And as always, your help is greatly appreciated!
 

Answers and Replies

  • #2
saltydog
Science Advisor
Homework Helper
1,582
2
stunner5000pt said:
Find the intervals containing solutions to the following equation

[tex] 4x^2 - e^x = 0 [/tex]
I haven o clue on where to start really?
WOuldi expand e^x using taylor series? i mean one could do this
[tex] x - 2ln x = ln 4 [/tex]
so then would i do log expansion by taylor series? Or would i use bisection method? But how owuld i pick the two points for bisection method? Please assist!

And as always, your help is greatly appreciated!
Why not just plot:

[tex]y1(x)=4x^2[/tex]

and

[tex]y2(x)=e^x[/tex]

interesections, bingo-bango.
 

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