Algebra.Com's Answer #687177 by ikleyn(52797)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression)
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document.write( "that have the following solution sets:\r
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document.write( "Two solutions: x= 1/2, x= -1/3
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document.write( "Answer. b =  , c =  .\r\n" );
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document.write( "Plots y =  (red) and y = 5/12 (green)\r\n" );
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document.write( "Solution\r\n" );
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document.write( "The problem asks to find the values \"b\" and \"c\" in a way that\r\n" );
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document.write( "the solutions of the equation |x - b| = c are x= 1/2 and x= -1/3.\r\n" );
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document.write( "It means that \"b\" is the center of the segment [ , ].\r\n" );
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document.write( "This segment has the length  =  =  =  . Hence, the half of this length is .\r\n" );
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document.write( "Therefore, the center of the segment is  =  = .\r\n" );
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document.write( "Thus the value of \"b\" is found: it is b = .\r\n" );
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document.write( "Then the value of \"c\" is c =  = .\r\n" );
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document.write( "Solved.\r
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