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ch4aika [34]
3 years ago
10

Estimating a square root.

Mathematics
2 answers:
timama [110]3 years ago
8 0
The way that cheap calculators do it is with Newton's approximation.

x=√n

x^2=n

x^2-n=0

Newton's approximation is:

x-f(x)/(dy/dx)

x-(x^2-n)/(2x) which if you include the improved approximation

(2x^2-x^2+n)/(2x)

x↔(x^2+n)/(2x)

It converges very quickly to the exact answer (if there is one) with relatively few iterations...

For example:  √5 ?  take an initial guess of 2 and you get:

(x^2+5)/(2x)

2, 2.25, 2.2361, 2.2360, 2.236067977499
Digiron [165]3 years ago
5 0
I'm sorry but I'm not into square roots yet :(
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Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which bestdescribes t
Katyanochek1 [597]
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