Answer:22/
9
= 2 4/
9
≅ 2.4444444
Step-by-step explanation:
Add: -19 + 9 = -10
Absolute value: abs(the result of step No. 1) = abs(-10) = 10
Divide: the result of step No. 2 / 3 = 10 / 3 = 3.3333333333333 = 10/
3
Subtract: 14 - 22 = -8
Absolute value: abs(the result of step No. 4) = abs(-8) = 8
Divide: the result of step No. 5 / 9 = 8 / 9 = 0.88888888888889 = 8/
9
Subtract: the result of step No. 3 - the result of step No. 6 = 10/
3
- 8/
9
= 10 · 3/
3 · 3
- 8/
9
= 30/
9
- 8/
9
= 30 - 8/
9
= 22/
9
Answer:
look at the picture i have sent
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...
They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..
A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:
x-(f(x)/(df/dx))
In a square root problem you wish to know:
x=√n where x is the root and n is the number
x^2=n
x^2-n=0
So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:
x-((x^2-n)/(2x)) which simplifies further to:
(2x^2-x^2+n)/(2x)
(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)
In this case the number, n=95.54, so a decent starting value for x would be 10.
Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.
10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397
The calculator result for my calc is: 9.7744565066299210578124802523381
So you see how accurate the newton method is in just a few iterations. :P
Answer:
this is only one functions, it means all is correct.
