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Amazing Mental Maths!
astarmathsandphysics:
Describe a method for working out the square root of a number to 6 significant figures. I can do it winside 30 seconds without paper working. Tell me how i do it.
past-papers:
Simple, use a calculator which gives answers to 6 significant figures.
Alternatively, you an use the Newton-Rafson convergence method. For example the roots of 3x3 + x2 - 5x + 3 can be found by finding out that
x = 3 / (3x2 + x - 5) therefore use the series x = 3 / (3xn-12 + xn-1 - 5)
and letting x = any number. The series should converge to a point which is known as the root.
This is how a calculator computes the root of something too by the way.
What's my prize?? ;D
master786:
which grade is all this done in :S..certainly not done within IGCSE limits:P
past-papers:
A-Level. Edexcel C3 will do the Newton Rafson method. You can use FP3 Taylor and Maclaurin's series' too bt they're more useful for working out the value of e and pi.
master786:
:| wow :P
u r smart :D
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