Question

Find an approximate value of the positive real root of xe^x =1 using graphical method. Use
this value to find the positive real root of xe^x =1 correct to three decimal places by fixed
point iteration method.

Answer 1

Question #65683, Math / Other

Find an approximate value of the positive real root of $\mathrm{xe}^{\wedge}\mathrm{x} = 1$ using graphical method. Use this value to find the positive real root of $\mathrm{xe}^{\wedge}\mathrm{x} = 1$ correct to three decimal places by fixed point iteration method.

Answer.

$$x _ {0} = 0. 5.$$ $$x _ {n + 1} = e ^ {- x _ {n}}$$

So, $x = 0.567$ .

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