document.write( "Question 89199: Find the solution sets.\r
\n" ); document.write( "\n" ); document.write( "4x^2 - 25 = 0
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Algebra.Com's Answer #64834 by praseenakos@yahoo.com(507)\"\" \"About 
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Question \r
\n" ); document.write( "\n" ); document.write( "Find the solution sets.\r
\n" ); document.write( "\n" ); document.write( "4x^2 - 25 = 0\r
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\n" ); document.write( "\n" ); document.write( "\"+4x%5E2+-+25+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "This can be written as .....\r
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\n" ); document.write( "\n" ); document.write( "\"+%282x%29%5E2+-+25+=+0+\", which is of the form, \"+a%5E2+-+b%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "We know that \"+a%5E2+-+b%5E2\" can be written as,
\n" ); document.write( "\"+a%5E2+-+b%5E2\"= (a + b) ( a - b)\r
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\n" ); document.write( "\n" ); document.write( "Similarly \r
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\n" ); document.write( "\n" ); document.write( "\"+%282x%29%5E2+-+25+=+0+\" ==> (2x + 5)( 2x - 5 ) = 0\r
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\n" ); document.write( "\n" ); document.write( "==> either (2x + 5) = 0 or ( 2x - 5 ) = 0\r
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\n" ); document.write( "\n" ); document.write( "==> 2x + 5 = 0 \r
\n" ); document.write( "\n" ); document.write( "Subtract 5 from both sides.....\r
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\n" ); document.write( "\n" ); document.write( "==> 2x - 5 - 5 = 0 - 5
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\n" ); document.write( "\n" ); document.write( "==> 2x = -5 \r
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\n" ); document.write( "\n" ); document.write( "Divide both sides by 2\r
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\n" ); document.write( "\n" ); document.write( "==> \"+2x%2F2+=+-5%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "==> \"+x+=+-2.5+\"\r
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\n" ); document.write( "\n" ); document.write( "Now suppose 2x-5 = 0 \r
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\n" ); document.write( "\n" ); document.write( "Add 5 on both sides....\r
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\n" ); document.write( "\n" ); document.write( "2x - 5 + 5 = 0 + 5\r
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\n" ); document.write( "\n" ); document.write( "==> 2x = 5\r
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\n" ); document.write( "\n" ); document.write( "Divide both sides by 2\r
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\n" ); document.write( "\n" ); document.write( "==> \"2x%2F2+=+5%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "==> \"+x+=+2.5\"\r
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\n" ); document.write( "\n" ); document.write( "So the solution set is = { 2.5, -2.5 }\r
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\n" ); document.write( "\n" ); document.write( "Hope you found the explanation useful.\r
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\n" ); document.write( "\n" ); document.write( "Regards.\r
\n" ); document.write( "\n" ); document.write( "Praseena\r
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