document.write( "Question 778861: Complete the square and solve for x\r
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Algebra.Com's Answer #474927 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "-4x²-3x+1 = 0\r\n" );
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document.write( "Make the leading term positive by multiplying by -1\r\n" );
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document.write( "4x²+3x-1 = 0\r\n" );
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document.write( "Get the -1 off the left side by adding 1 to both sides:\r\n" );
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document.write( "4x²+3x = 1\r\n" );
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document.write( "Divide every number through by 4\r\n" );
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document.write( "x²+x = \r\n" );
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document.write( "x²+x = \r\n" );
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document.write( "1. Multiply the coefficient  of x,  by , getting \r\n" );
document.write( "2. Square , getting  = \r\n" );
document.write( "3. Add  to both sides:\r\n" );
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document.write( "x²+x+ = +\r\n" );
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document.write( "The left side will now factor \r\n" );
document.write( "as a square: x²+x+ = (x+)(x+) = (x+)²\r\n" );
document.write( "Combine the fractions on the right by getting a LCD of 64: + = + = \r\n" );
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document.write( "(x+)² = \r\n" );
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document.write( "take square roots of both sides:\r\n" );
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document.write( "(x+) = \r\n" );
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document.write( "Add } to both sides:\r\n" );
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document.write( "x = \r\n" );
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document.write( "Using the + :  x =  =  = \r\n" );
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document.write( "Using the - :  x =  =  = -1\r\n" );
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document.write( "Solutions:  and -1\r\n" );
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document.write( "----------------------------------\r\n" );
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document.write( "It could have been done by factoring:\r\n" );
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document.write( "-4x²-3x+1 = 0\r\n" );
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document.write( "Make the leading term positive by multiplying by -1\r\n" );
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document.write( "4x²+3x-1 = 0\r\n" );
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document.write( "(4x-1)(x+1) = 0\r\n" );
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document.write( "4x-1 = 0;  x+1 = 0\r\n" );
document.write( "  4x = 1     x = -1\r\n" );
document.write( "   x = \r\n" );
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document.write( "Edwin

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