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taurus [48]
3 years ago
8

What times someting equals 34

Mathematics
1 answer:
svp [43]3 years ago
3 0
4×8=32 5×7=35 Nothing = 34 ...U would have to divide and get a remainder.
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x_{n+1} = x_{n} - \frac{f(x_{n} )}{f^{'}(x_{n})}

x_{1} = -10

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Step-by-step explanation:

Generally, the Newton-Raphson method can be used to find the solutions to polynomial equations of different orders. The formula for the solution is:

x_{n+1} = x_{n} - \frac{f(x_{n} )}{f^{'}(x_{n})}

We are given that:

f(x) = x^{2} + 21; x_{0} = -21

f^{'} (x) = df(x)/dx = 2x

Therefore, using the formula for Newton-Raphson method to determine x_{1} and x_{2}

x_{1} = x_{0} - \frac{f(x_{0} )}{f^{'}(x_{0})}

f(x_{0}) = x_{0} ^{2} + 21 = (-21)^{2} + 21 = 462

f^{'}(x_{0}) = 2*(-21) = -42

Therefore:

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Similarly,

x_{2} = x_{1} - \frac{f(x_{1} )}{f^{'}(x_{1})}

f(x_{1}) = (-10)^{2} + 21 = 100+21 = 121

f^{'}(x_{1}) = 2*(-10) = -20

Therefore:

x_{2} = -10 - \frac{121}{20} = -10+6.05 = -3.95

5 0
3 years ago
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