document.write( "Question 183458: How would you change x^2-6x+5 to vertex form \n" ); document.write( "
Algebra.Com's Answer #137727 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
In order to get \"x%5E2-6x%2B5\" into vertex form, we need to complete the square:\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-6x%2B5\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "Take half of the \"x\" coefficient \"-6\" to get \"-3\". In other words, \"%281%2F2%29%28-6%29=-3\".\r
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\n" ); document.write( "\n" ); document.write( "Now square \"-3\" to get \"9\". In other words, \"%28-3%29%5E2=%28-3%29%28-3%29=9\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-6x%2Bhighlight%289-9%29%2B5\" Now add and subtract \"9\". Make sure to place this after the \"x\" term. Notice how \"9-9=0\". So the expression is not changed.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-6x%2B9%29-9%2B5\" Group the first three terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%5E2-9%2B5\" Factor \"x%5E2-6x%2B9\" to get \"%28x-3%29%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%5E2-4\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So after completing the square, \"x%5E2-6x%2B5\" transforms to \"%28x-3%29%5E2-4\". \r
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\n" ); document.write( "\n" ); document.write( "Now the expression \"%28x-3%29%5E2-4\" is in vertex form.\r
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