document.write( "Question 109283: 1. Solve by completing the square.
\n" ); document.write( " x^2 – 4x + 4 = 0
\n" ); document.write( "2. Solve by completing the square.
\n" ); document.write( " x^2 = 5x + 2
\n" ); document.write( "3. Solve by using the quadratic formula. x^2 = –3x + 8
\n" ); document.write( "4. Solve by using the quadratic formula. 3x2 = 11x + 4
\n" ); document.write( "5. Solve. (x + 1)2 = 3
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Algebra.Com's Answer #79689 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
1. Solve by completing the square.
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\n" ); document.write( "\"x%5E2+%96+4x+%2B+4+=+0\".......\"-4x\" write as \"-2x+-+2x\", then group first two terms and second two terms\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+2x+-+2x+%2B+4+=+0\".......\r
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\n" ); document.write( "\n" ); document.write( "(\"x%5E2+%96+2x\") - (\"2x+-+4\") = \"0\".......factor out in first group \"x\", and in second group \"2\"\r
\n" ); document.write( "\n" ); document.write( "x(x – 2) - 2(x - 2) = 0.......factor out \"x-2\"\r
\n" ); document.write( "\n" ); document.write( "(x – 2)(x - 2) = 0.......solution\r
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\n" ); document.write( "\n" ); document.write( "2. Solve by completing the square.
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\n" ); document.write( "\"x%5E2+=+5x+%2B+2\" \r
\n" ); document.write( "\n" ); document.write( "write this first in standard form:\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+5x+-+2+=+0\"\r
\n" ); document.write( "\n" ); document.write( "coefitients are: \"a+=+1\", \"b+=+-5\", and \"c+=+-2\"\r
\n" ); document.write( "\n" ); document.write( "now apply the quadratic formula:\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%285+%2B-+sqrt+%28%28-5%29%5E2+-4%2A1%2A%28-2%29+%29%29+%2F+%282%2A1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%285+%2B-+sqrt+%2825+%2B+8+%29%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%285+%2B-+sqrt+%2833%29%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%285+%2B-+5.74%29+%2F+2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=%285+%2B+5.74%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=5.37+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=%285+-+5.74%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=-0.74+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=+-0.37\"\r
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\n" ); document.write( "\n" ); document.write( "3. Solve by using the quadratic formula. \r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+\"= –\"3x+%2B+8+\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+3x+-+8+=+0\"\r
\n" ); document.write( "\n" ); document.write( "coefitients are: \"a+=+1\", \"b+=+3\", and \"c+=+-8\"\r
\n" ); document.write( "\n" ); document.write( "now apply the quadratic formula:\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-3+%2B-+sqrt+%28%283%29%5E2+-4%2A1%2A%28-8%29+%29%29+%2F+%282%2A1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-3+%2B-+sqrt+%289+%2B+32+%29%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-3+%2B-+sqrt+%2841%29+%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-3+%2B-+6.4%29+%2F+2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=%28-3+%2B+6.4%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=+3.4+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=+1.7\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=%28-3+-+6.4%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=%28+-+9.4%29+%2F+2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=%28+-4.7%29+%2F+2\"\r
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\n" ); document.write( "\n" ); document.write( "4. Solve by using the quadratic formula. \r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2+=+11x+%2B+4\"\r
\n" ); document.write( "\n" ); document.write( "\"3x%5E2+-+11x+-+4+=+0\"\r
\n" ); document.write( "\n" ); document.write( "coefitients are: \"a+=+3\", \"b+=+-11\", and \"c+=+-4\"\r
\n" ); document.write( "\n" ); document.write( "now apply the quadratic formula:\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-11+%2B-+sqrt+%28%28-11%29%5E2+-4%2A3%2A%28-4%29+%29%29+%2F+%282%2A3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-11+%2B-+sqrt+%28121+%2B+48+%29%29+%2F+6\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-11+%2B-+sqrt+%28169+%29%29+%2F+6\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%2C2%5D=%28-11+%2B-+13%29+%2F+6\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=%28-11+%2B+13%29+%2F+6\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=+2+%2F+6\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=+1+%2F+3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=%28-11+-+13%29+%2F+6\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=+-+24+%2F+6\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=+-+4+\"\r
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\n" ); document.write( "\n" ); document.write( "5. Solve. \"%28x+%2B+1%292+=+3\"....divide both sides by \"2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B1+=+3%2F2\"...move \"1\" to the right\r
\n" ); document.write( "\n" ); document.write( "\"x+=+3%2F2+-+1\"....\"1=2%2F2\", so \r
\n" ); document.write( "\n" ); document.write( "\"x+=+3%2F2+-+2%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+1%2F2\"\r
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