document.write( "Question 310678: I have two questions:
\n" ); document.write( "1. Find, rounded to two decimal places, the solution(s) to the equation 0 = 2x3 - 5x + 7.\r
\n" ); document.write( "\n" ); document.write( "2. Solve the equation x(x - 2) = 7. \n" ); document.write( "

Algebra.Com's Answer #222156 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+2x%5E3-5x%2B7%29+\"$
\n" ); document.write( "Looks like there is a root near $\"x=-2\"$ .
\n" ); document.write( "f(x)= $\"2x%5E3+-+5x+%2B+7\"$
\n" ); document.write( "f'(x)= $\"6x%5E2-5\"$
\n" ); document.write( "I used Newton's method to iterate,
\n" ); document.write( "x(n+1)=xn-f(xn)/f'(xn)
\n" ); document.write( "Starting with $\"x=-2\"$ , the solution quickly converge to $\"x=-2.05098\"$ or to two decimal places, $\"highlight_green%28x=-2.05%29\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"x%28x-2%29=7\"$
\n" ); document.write( " $\"x%5E2-2x-7=0\"$
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-%28-2%29+%2B-+sqrt%28+4-4%2A1%2A%28-7%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%28+32+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%282+%2B-+4sqrt%28+2+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+1+%2B-+2sqrt%28+2+%29+\"$ \n" ); document.write( "

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