How Do You Solve 4x^2 - e^x = 0 Using Numerical Methods?

[stunner5000pt]

Find the intervals containing solutions to the following equation

$$4x^2 - e^x = 0$$
I haven o clue on where to start really?
WOuldi expand e^x using taylor series? i mean one could do this
$$x - 2ln x = ln 4$$
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!

 

[saltydog]

Find the intervals containing solutions to the following equation

$$4x^2 - e^x = 0$$
I haven o clue on where to start really?
WOuldi expand e^x using taylor series? i mean one could do this
$$x - 2ln x = ln 4$$
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:

$$y1(x)=4x^2$$

and

$$y2(x)=e^x$$

interesections, bingo-bango.