document.write( "Question 1166286: Solve the following quadratic equation by using completing the square.\r
\n" ); document.write( "\n" ); document.write( "1.) 4x²-x-8=0
\n" ); document.write( "2.) x²+5x-3=0
\n" ); document.write( "3.) 8y²-24y-3=0
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Algebra.Com's Answer #790773 by math_helper(2461)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "1) \"+4x%5E2-x-8+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "Divide both sides by 4:
\n" ); document.write( " \"+x%5E2-%281%2F4%29x-2+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "Add 2 both sides:
\n" ); document.write( " \"+x%5E2+-+%281%2F4%29x+=+2+\"
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\n" ); document.write( "Add \"+%28%281%2F2%29%281%2F4%29%29%5E2+=+1%2F64+\" to both sides:
\n" ); document.write( " \"+x%5E2+-%281%2F4%29x+%2B+1%2F64+=+2+%2B+1%2F64+\"\r
\n" ); document.write( "\n" ); document.write( "Simplify RHS:
\n" ); document.write( " \"+x%5E2+-%281%2F4%29x+%2B+1%2F64+=+129%2F64+\"\r
\n" ); document.write( "\n" ); document.write( "Notice LHS is perfect square:
\n" ); document.write( " \"+%28x-1%2F8%29%5E2+=+129%2F64+\" \r
\n" ); document.write( "\n" ); document.write( "Take sqrt both sides, use +/- on RHS (b/c LHS^2 = RHS^2 we otherwise would lose the negative solution):
\n" ); document.write( " \"++%28x-1%2F8%29+\" = +- \"+sqrt%28129%2F64%29+\"\r
\n" ); document.write( "\n" ); document.write( "Add 1/8 to both sides:
\n" ); document.write( " \"++x+=+%281%2F8%29+%2B-+sqrt%28129%2F64%29+\"\r
\n" ); document.write( "\n" ); document.write( "This can be written:
\n" ); document.write( " \"+x+=+%281+%2B-+sqrt%28129%29%29%2F8+\"\r
\n" ); document.write( "\n" ); document.write( "Note that there are two solutions, agreeing with the highest power of the polynomial (2).\r
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\n" ); document.write( "\n" ); document.write( "The others are procedurally the same. \r
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