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ch4aika [34]
4 years ago
10

Estimating a square root.

Mathematics
2 answers:
timama [110]4 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]4 years ago
5 0
I'm sorry but I'm not into square roots yet :(
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Keith_Richards [23]
1/10 for Hugh to be first and after he is picked only 9 students remain so 1/9 for stu and after he is picked only 8 remain to be chosen so 1/8 for lou. The chance of all three happening is 1/10×1/9×1/8=1/720 this is the probability that 3 triplets will be chosen in that exact order out of 10 students
3 0
3 years ago
1+(2/3)-(-9/2)<br> i don't understand this and i need help
kaheart [24]

Answer:

6.167

Step-by-step explanation:

1 + 2/3 - (-9/2)

1 + 2/3 + 9/2

Taking LCM (1 x 2 x 3)

6/6 + 4/6 + 27/6

6 + 4 + 27/6

37/6

6.167 Ans

6 0
2 years ago
Please help. I got some missing work!!!
11Alexandr11 [23.1K]

Answer:

ok

Step-by-step explanation:

1) x=-17

2) -1=x

3) (sorry don't know)

4) x=-20

8 0
3 years ago
Read 2 more answers
3/4+(1/3÷16)-(-1/2)=​
n200080 [17]

Answer:

5.5833333 ( ⊙‿⊙)/

5 0
3 years ago
1,Find the eighth term of the geometric sequence whose 1st term is 5 and whose 4th term is
jeka94

Answer:

Solution will be 1/15625

Step-by-step explanation:

Substitute the value of first term for ar^(4-1) for the third term with 1/25 on RHS, make r the subject (which is the common ratio)

you'll get r as 1/5

Now for the eighth term, replace the "4" in the formula with "8" and a with "5" and observe the magic.

6 0
3 years ago
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