document.write( "Question 883955: f(x)=4x^3+14x-8
\n" ); document.write( "I need the approximate real zeros of f to the nearest thousandth. \n" ); document.write( "

Algebra.Com's Answer #533916 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"graph%28300%2C300%2C-2%2C2%2C-2%2C2%2C4x%5E3%2B14x-8+%29\"$
\n" ); document.write( "Looks like the zero lies between 0 and 1.
\n" ); document.write( "I used Newton's method with a starting value of 0.5.
\n" ); document.write( " $\"x%5Bn%2B1%5D=x%5Bn%5D-f%28x%5Bn%5D%29%2F%28%28df%2Fdx%29%28x%5Bn%5D%29%29\"$
\n" ); document.write( "with
\n" ); document.write( " $\"f=4x%5E3%2B14x-8\"$
\n" ); document.write( " $\"df%2Fdx=12x%5E2%2B14\"$
\n" ); document.write( " $\"x=0.529107\"$
\n" ); document.write( " \n" ); document.write( "

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