document.write( "Question 446168: Use a calculator to approximate the number below:\r
\n" ); document.write( "\n" ); document.write( " (-17/7)^8
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Algebra.Com's Answer #307244 by The One(11)\"\" \"About 
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(-17/7)^8 \r
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\n" ); document.write( "\n" ); document.write( "expl
\n" ); document.write( "x^2- = 0\r
\n" ); document.write( "\n" ); document.write( "Newton's method is an algorithm step-by-step procedure for carrying out computation. \r
\n" ); document.write( "\n" ); document.write( "Xn+1=Xn-(f(Xn) / (f^1(Xn)\r
\n" ); document.write( "\n" ); document.write( "Find the derivative - is a measurement of how a function changes when the values of its inputs change. f(x)=x^2- Use the Newton's method. \r
\n" ); document.write( "\n" ); document.write( "f'(x)=2x+0 \r
\n" ); document.write( "\n" ); document.write( "Setup the formula or rule to find the X2 approximation.
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\n" ); document.write( "X2=X1- (f(x1)/(f^1(X1)\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of into the next Newton's Method approximation.
\n" ); document.write( "X2 =1 - ((1)^2-)/(2(1)+0\r
\n" ); document.write( "\n" ); document.write( "X2.
\n" ); document.write( "x2=1\r
\n" ); document.write( "\n" ); document.write( "Since the 2th and 1th approximations are equal to 4 decimal places, 1 is the approximation of the root. \r
\n" ); document.write( "\n" ); document.write( "1
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