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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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Twice a number deceased by 7.translate in algebraic expressions​
Dafna1 [17]

Twice a number (2x) decreased by 7 (- 7).

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Two times a specfic number (x) subtracted by 7.

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Read 2 more answers
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Nimfa-mama [501]

Step-by-step explanation:

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4 0
2 years ago
The sum of two numbers is 10. twice the first number is 4 more than twice the second. what are the two numbers?
Ludmilka [50]
X+ y = 10
2x = 2y+4

2x/2 = 2/2y+4/2
x = y + 2

x+y = 10
y+2+y=10
2y + 2 = 10
2y +2-2 =10-2
2y = 8
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x + y =10
x + 4 =10
x +4-4 =10-4
x = 6

Check
2x = 2y +4
2(6) = 2(4) +4
12 = 8+4
12= 12
6 0
3 years ago
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