document.write( "Question 170874This question is from textbook Algebra 2
\n" ); document.write( ": well i have to solve this equation: x^2-6x+25 and put it in a+bi form. can you please show me how to do this \n" ); document.write( "
Algebra.Com's Answer #126164 by jim_thompson5910(35256)\"\" \"About 
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I assume that you want to solve \"x%5E2-6x%2B25=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-6x%2B25=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"ax%5E2%2Bbx%2Bc\" where \"a=1\", \"b=-6\", and \"c=25\"\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%2825%29+%29%29%2F%282%281%29%29\" Plug in \"a=1\", \"b=-6\", and \"c=25\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%281%29%2825%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%2825%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+36-100+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%2825%29\" to get \"100\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+-64+%29%29%2F%282%281%29%29\" Subtract \"100\" from \"36\" to get \"-64\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+-64+%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-+8%2Ai%29%2F%282%29\" Take the square root of \"-64\" to get \"8%2Ai\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B+8%2Ai%29%2F%282%29\" or \"x+=+%286+-+8%2Ai%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286%29%2F%282%29+%2B+%288%2Ai%29%2F%282%29\" or \"x+=++%286%29%2F%282%29+-+%288%2Ai%29%2F%282%29\" Break up the fraction for each case. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+3%2B4%2Ai\" or \"x+=++3-4%2Ai\" Reduce. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+3%2B4%2Ai\" or \"x+=+3-4%2Ai\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the answers are \"x+=+3%2B4%2Ai\" or \"x+=+3-4%2Ai\" \r
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