document.write( "Question 984499: There are two solutions for x to the equation\r
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\n" ); document.write( "\n" ); document.write( "To 2 decimal places, what is the value of the greater of the two solutions when a = 22, b = 12 and c = -11? \n" ); document.write( "

Algebra.Com's Answer #605285 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Instead of doing your problem for you, I'll do another one that is just\r\n" );
document.write( "exactly in every detail and step like yours.  Sop you can use it as a\r\n" );
document.write( "model to go by.  I'll do this one instead:\r\n" );
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\n" ); document.write( "a|x + b| + c = 0
\n" ); document.write( "To 2 decimal places, what is the value of the greater of the two solutions when a = 12, b = 10 and c = -8?
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document.write( "12|x + 10| + (-8) = 0\r\n" );
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document.write( "12|x + 10| = 8\r\n" );
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document.write( "Divide both sides by 4\r\n" );
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document.write( "3|x + 10| = 2\r\n" );
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document.write( "Since what's inside the absolute value can be either positive\r\n" );
document.write( "or negative, we make two equations, one where x + 10 is positive\r\n" );
document.write( "and one where x + 10 is negative.\r\n" );
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document.write( "3[+(x + 10)] = 2     or     3[-(x + 10)] = 2\r\n" );
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document.write( "3x + 30 = 2         or          -3x - 30 = 2\r\n" );
document.write( "     3x = -28       or               -3x = 32\r\n" );
document.write( "      x =      or      x = \r\n" );
document.write( "      x = -9.33                   x = -10.67\r\n" );
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document.write( "The greater of those two solutions, since they are both negative,\r\n" );
document.write( "is the one that's the least far below zero, and -9.23 is not\r\n" );
document.write( "as far below zero as -10.67.\r\n" );
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document.write( "So the answer is -9.33\r\n" );
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document.write( "Now do your problem exactly the same way, step by step.\r\n" );
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document.write( "Edwin

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