document.write( "Question 211101: Hi I need help with these questions:\r
\n" ); document.write( "\n" ); document.write( "1. -9+i/-9-3i I divided the num and dem by the recip -9+3i and then used FOIL is that correct then simplified My answer was 13/15-3i/15 help\r
\n" ); document.write( "\n" ); document.write( "2. x^-6x+17=0 Do I use the quadr formula to solve this I did and got 4-i and 4+i\r
\n" ); document.write( "\n" ); document.write( "3. (x^+3x)+5=0 help my ans were not close to the choices I had (also noted is problem that I=sqrt of 1)\r
\n" ); document.write( "\n" ); document.write( "4. (x^-2x)+7=0 help my ans were not close to the choices I had (also noted is problem that I=sqrt of 1)\r
\n" ); document.write( "\n" ); document.write( "5. (x^+2x)+7=0 help my ans were not close to the choices I had (also noted is problem that I=sqrt of 1)\r
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Algebra.Com's Answer #159559 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'll do the first three to get you going. The rest will be like # 2 and # 3\r
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\n" ); document.write( "\n" ); document.write( "# 1\r
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\n" ); document.write( "\n" ); document.write( "\"%28-9%2Bi%29%2F%28-9-3i%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28-9%2Bi%29%2F%28-9-3i%29%29%28%28-9%2B3i%29%2F%28-9%2B3i%29%29\" Multiply the fraction by \"%28-9%2B3i%29%2F%28-9%2B3i%29\".\r
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\n" ); document.write( "\n" ); document.write( "Note: \"-9%2B3i\" is the complex conjugate of \"-9-3i\". Multiplying two conjugate pairs will result in a real number.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28-9%2Bi%29%28-9%2B3i%29%29%2F%28%28-9-3i%29%28-9%2B3i%29%29\" Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( " FOIL the numerator.\r
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\n" ); document.write( "\n" ); document.write( " FOIL the denominator.\r
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\n" ); document.write( "\n" ); document.write( "\"%2881-27i-9i%2B3i%5E2%29%2F%2881-27i%2B27i-9i%5E2%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%2881-27i-9i%2B3i%5E2%29%2F%2881-27i%2B27i-9%28-1%29%29\" Replace \"i%5E2\" with -1\r
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\n" ); document.write( "\n" ); document.write( "\"%2881-27i-9i%2B3i%5E2%29%2F%2881-27i%2B27i%2B9%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%2878-36i%29%2F%2890%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%2878%29%2F%2890%29%2B%28%28-36%29%2F%2890%29%29i\" Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"13%2F15-%282%2F5%29i\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28-9%2Bi%29%2F%28-9-3i%29=13%2F15-%282%2F5%29i\".\r
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\n" ); document.write( "\n" ); document.write( "So the expression is now in standard form \"a%2Bbi\" where \"a=13%2F15\" and \"b=-2%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "# 2\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-6x%2B17=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2-6x%2B17\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=-6\", and \"C=17\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\" Start with the quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%2817%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-6\", and \"C=17\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%2817%29+%29%29%2F%282%281%29%29\" Negate \"-6\" to get \"6\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36-4%281%29%2817%29+%29%29%2F%282%281%29%29\" Square \"-6\" to get \"36\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36-68+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%2817%29\" to get \"68\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+-32+%29%29%2F%282%281%29%29\" Subtract \"68\" from \"36\" to get \"-32\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+-32+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+4i%2Asqrt%282%29%29%2F%282%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286%29%2F%282%29+%2B-+%284i%2Asqrt%282%29%29%2F%282%29\" Break up the fraction. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+3+%2B-+2%2Asqrt%282%29%2Ai\" Reduce. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+3%2B2%2Asqrt%282%29%2Ai\" or \"x+=+3-2%2Asqrt%282%29%2Ai\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+3%2B2%2Asqrt%282%29%2Ai\" or \"x+=+3-2%2Asqrt%282%29%2Ai\" \r
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\n" ); document.write( "\n" ); document.write( "# 3\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3x%2B5=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2%2B3x%2B5\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=3\", and \"C=5\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\" Start with the quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%283%29+%2B-+sqrt%28+%283%29%5E2-4%281%29%285%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=3\", and \"C=5\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9-4%281%29%285%29+%29%29%2F%282%281%29%29\" Square \"3\" to get \"9\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9-20+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%285%29\" to get \"20\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+-11+%29%29%2F%282%281%29%29\" Subtract \"20\" from \"9\" to get \"-11\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+-11+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+i%2Asqrt%2811%29%29%2F%282%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3%2Bi%2Asqrt%2811%29%29%2F%282%29\" or \"x+=+%28-3-i%2Asqrt%2811%29%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+%28-3%2Bi%2Asqrt%2811%29%29%2F%282%29\" or \"x+=+%28-3-i%2Asqrt%2811%29%29%2F%282%29\" \r
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