Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Newton - Raphson question

Find all solutions using the Newton Raphson method correct to 4dp of

5x + ln(x)=10,000

Intuitively I thought one of my solutions should be around 2000. However, my working out alludes to something completely different and I cant quite see where I've gone wrong. I'll post my working out next ...

OP

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Original post by ElDonCorleone

...

x_2 = 2 - \dfrac{5(2)+\ln(2)-10000}{5+\frac{1}{2}}

You forgot the 10000

i) make it equal zero:

5x + ln(x) - 10000 = 0

f(x) = 5x + ln(x) - 10000

f'(x) = 5 + 1/x

then put these together...

x_n+1 = x_n - f(x_n)/f'(x_n)

OP

Original post by RDKGames

x_2 = 2 - \dfrac{5(2)+\ln(2)-10000}{5+\frac{1}{2}}

You forgot the 10000

Ahh so trivial, thanks!

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