document.write( "Question 1038305: What's an example of an equation containing two radicals for where 1 is a solution? \n" ); document.write( "
Algebra.Com's Answer #653025 by Edwin McCravy(20054) $\"\"$ $\"About$
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document.write( "We want an equation of this form\r\n" );
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document.write( "That's \"something + something = something\"\r\n" );
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document.write( "Let's make up a simple addition or subtraction example \r\n" );
document.write( "as a model like this simple addition example:\r\n" );
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document.write( "                          3 + 4 = 7\r\n" );
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document.write( "We want  to equal 3 when x=1\r\n" );
document.write( "We want  to equal 4 when x=1\r\n" );
document.write( "We want  to equal 7 when x=1\r\n" );
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document.write( "Let's create an expression1:\r\n" );
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document.write( "Squaring both sides:\r\n" );
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document.write( "Start with x = 1\r\n" );
document.write( "Multiply through by something, say 4\r\n" );
document.write( "          4x = 4\r\n" );
document.write( "Add enough to both sides to make the right side come out to 9.\r\n" );
document.write( "So we add 5 to both sides\r\n" );
document.write( "        4x+5 = 9\r\n" );
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document.write( "So 4x+5 will do for expression1\r\n" );
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document.write( "Let's create an expression2:\r\n" );
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document.write( "Squaring both sides:\r\n" );
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document.write( "Start with x = 1\r\n" );
document.write( "Multiply through by something, say 5\r\n" );
document.write( "          5x = 5\r\n" );
document.write( "Add enough to both sides to make the right side come out to 16.\r\n" );
document.write( "So we add 11 to both sides\r\n" );
document.write( "        5x+11 = 5+11\r\n" );
document.write( "        5x+11 = 16\r\n" );
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document.write( "So 5x+11 will do for expression2\r\n" );
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document.write( "Let's create an expression3:\r\n" );
document.write( "It's not a radical. We want it to equal 7 when 1\r\n" );
document.write( "is substituted for x\r\n" );
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document.write( "Start with x = 1\r\n" );
document.write( "Multiply through by something, say 8\r\n" );
document.write( "          8x = 8\r\n" );
document.write( "Subtract enough from both sides to make the right side come out to 7.\r\n" );
document.write( "So we subtract 1 from both sides\r\n" );
document.write( "        8x-1 = 8-1\r\n" );
document.write( "        8x-1 = 7\r\n" );
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document.write( "So 8x-1 will do for expression3\r\n" );
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document.write( "becomes this equation\r\n" );
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document.write( "Edwin
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