document.write( "Question 41910: x^2+6x-4=0 \n" ); document.write( "
Algebra.Com's Answer #27033 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
       xｲ + 6x - 4 = 0\r\n" );
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document.write( "This won't factor, so we can either solve this\r\n" );
document.write( "by completing the square or the quadratic formula:\r\n" );
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document.write( "By completing the square\r\n" );
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document.write( "Leave only the terms in x on the left side\r\n" );
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document.write( "           xｲ + 6x = 4\r\n" );
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document.write( "To the side multiply the coefficient of x by 1/2,\r\n" );
document.write( "the square that result:\r\n" );
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document.write( "                             6ﾗ(1/2) = 3\r\n" );
document.write( "                                  3ｲ = 9\r\n" );
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document.write( "Add that result, 9, to both sides\r\n" );
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document.write( "       xｲ + 6x + 9 = 4 + 9 \r\n" );
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document.write( "Now the left side will factor as a\r\n" );
document.write( "perfect square.\r\n" );
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document.write( "    (x + 3)(x + 3) = 4 + 9 \r\n" );
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document.write( "Write the left side as the square of\r\n" );
document.write( "a binomial and combine terms on the right\r\n" );
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document.write( "          (x + 3)ｲ = 13\r\n" );
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document.write( "Take square roots of both sides, remembering\r\n" );
document.write( "ｱ on the right:\r\n" );
document.write( "         ________     __\r\n" );
document.write( "        ﾖ(x + 3)ｲ = ｱﾖ13\r\n" );
document.write( "                      __\r\n" );
document.write( "            x + 3 = ｱﾖ13\r\n" );
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document.write( "                x = -3 ｱ ﾖ13\r\n" );
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document.write( "By the quadratic formula:\r\n" );
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document.write( "       xｲ + 6x - 4 = 0\r\n" );
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document.write( "compare that to\r\n" );
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document.write( "      Axｲ + Bx + C = 0\r\n" );
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document.write( "Then A=1, B=6, C=-4\r\n" );
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document.write( "Then we use the quadratic formula:\r\n" );
document.write( "           ________\r\n" );
document.write( "     -B ｱ ﾖBｲ - 4AC\r\n" );
document.write( "x = 覧覧覧覧覧覧覧覧\r\n" );
document.write( "           2A\r\n" );
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document.write( "Substituting for A, B, and C\r\n" );
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document.write( "             _______________\r\n" );
document.write( "     -(6) ｱ ﾖ(6)ｲ - 4(1)(-4)\r\n" );
document.write( "x = 覧覧覧覧覧覧覧覧覧覧覧覧予r\n" );
document.write( "             2(1)\r\n" );
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document.write( "           _______\r\n" );
document.write( "     -6 ｱ ﾖ36 + 16\r\n" );
document.write( "x = 覧覧覧覧覧覧覧覧\r\n" );
document.write( "           2\r\n" );
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document.write( "           __\r\n" );
document.write( "     -6 ｱ ﾖ52\r\n" );
document.write( "x = 覧覧覧覧覧\r\n" );
document.write( "         2\r\n" );
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document.write( "           ____\r\n" );
document.write( "     -6 ｱ ﾖ4ｷ13\r\n" );
document.write( "x = 覧覧覧覧覧覧\r\n" );
document.write( "         2\r\n" );
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document.write( "            __\r\n" );
document.write( "     -6 ｱ 2ﾖ13\r\n" );
document.write( "x = 覧覧覧覧覧覧\r\n" );
document.write( "         2\r\n" );
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document.write( "               __\r\n" );
document.write( "     -6 ｱ    2ﾖ13\r\n" );
document.write( "x = 覧覧 ｱ  覧覧覧\r\n" );
document.write( "      2        2\r\n" );
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document.write( "      3      1 __\r\n" );
document.write( "     -6 ｱ    2ﾖ13\r\n" );
document.write( "x = 覧覧 ｱ  覧覧覧\r\n" );
document.write( "      2        2\r\n" );
document.write( "      1        1\r\n" );
document.write( "          __\r\n" );
document.write( "x = -3 ｱ ﾖ13\r\n" );
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document.write( "Edwin
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