document.write( "Question 554682: Hello! I have tried this a million times! My homework is full of this and i don't understand!: √(x-3) = √(x+15)-2\r
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Algebra.Com's Answer #361468 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!
√(x-3) = √(x+15)-2
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document.write( " =  - 2\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "[]² = [ - 2]²\r\n" );
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document.write( "[]² = [ - 2][ - 2]\r\n" );
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document.write( "Use FOIL on the right\r\n" );
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document.write( "[]² = []² - 2 - 2 + 4\r\n" );
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document.write( "[]² = []² - 4 + 4\r\n" );
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document.write( "x-3 = x+15 - 4 + 4\r\n" );
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document.write( "x-3 = x+19 - 4 \r\n" );
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document.write( "-22 = -4\r\n" );
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document.write( "Square both sides again:\r\n" );
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document.write( "(-22)² = [-4]²\r\n" );
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document.write( "484 = 16(x+15)\r\n" );
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document.write( "484 = 16x + 240\r\n" );
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document.write( "244 = 16x \r\n" );
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document.write( " = x\r\n" );
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document.write( " = x\r\n" );
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document.write( "Now we have to check because sometimes there are \r\n" );
document.write( "extraneous (phony) solutions to radical equations:\r\n" );
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document.write( " =  - 2\r\n" );
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document.write( " =  - 2\r\n" );
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document.write( "Get LCD of 4\r\n" );
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document.write( " =  - 2\r\n" );
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document.write( " =  - 2\r\n" );
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document.write( " =  - 2\r\n" );
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document.write( " =  - \r\n" );
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document.write( " = \r\n" );
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document.write( "Edwin

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