document.write( "Question 467379: how do you slove x= y squared-14y+25 \n" ); document.write( "
Algebra.Com's Answer #320663 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Solving for y:\r
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\n" ); document.write( "\n" ); document.write( "\"x=y%5E2-14y%2B25\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"0=y%5E2-14y%2B25-x\" Subtract x from both sides.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"y%5E2-14y%2B25-x\" is in the form of \"Ay%5E2%2BBy%2BC\" where \"A=1\", \"B=-14\", and \"C=25-x\" (note: x is a constant at this point)\r
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\n" ); document.write( "\n" ); document.write( "Use quadratic formula\r
\n" ); document.write( "\n" ); document.write( "\"y+=+%28-B%2B-sqrt%28B%5E2-4AC%29%29%2F%282A%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%28-%28-14%29+%2B-+sqrt%28+%28-14%29%5E2-4%281%29%2825-x%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-14\", and \"C=25-x\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814+%2B-+sqrt%28+%28-14%29%5E2-4%281%29%2825-x%29+%29%29%2F%282%281%29%29\" Negate \"-14\" to get \"14\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814+%2B-+sqrt%28+196-4%281%29%2825-x%29+%29%29%2F%282%281%29%29\" Square \"-14\" to get \"196\". \r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814+%2B-+sqrt%28+196-4%2825-x%29+%29%29%2F%282%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814+%2B-+sqrt%28+4%2849-%2825-x%29%29+%29%29%2F%282%29\" Factor out the GCF 4\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814+%2B-+sqrt%28+4+%29%2A+sqrt%28%2849-%2825-x%29%29+%29%29%2F%282%29\" Break up the square root.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814+%2B-+2%2A+sqrt%2849-25%2Bx+%29%29%2F%282%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+%2814+%2B-+2%2A+sqrt%28x%2B24%29%29%2F%282%29\" Combine like terms and rearrange the terms.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+7+%2B-+sqrt%28x%2B24%29\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"y+=+7+%2B-+sqrt%28x%2B24%29\" \r
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\n" ); document.write( "\n" ); document.write( "This is the same as saying that\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+7+%2B+sqrt%28x%2B24%29\" or \"y+=+7+-+sqrt%28x%2B24%29\"
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