document.write( "Question 896267: when √(2z+1)+√(3z+4)= 7 the value of z is given by \n" ); document.write( "
Algebra.Com's Answer #543461 by Edwin McCravy(20063) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "Isolate one of the radical terms\r\n" );
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document.write( "We square both sides:\r\n" );
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document.write( "Squaring the square root on the left takes away the radical:\r\n" );
document.write( "Write the right side twice multiplied by itself, so we can use FOIL:\r\n" );
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document.write( "Combine the radical terms on the right\r\n" );
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document.write( "Isolate the radical term on the left\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "Factor the right side:\r\n" );
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document.write( "Use the zero factor property:\r\n" );
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document.write( "        z - 4 = 0;   z-480 = 0\r\n" );
document.write( "            z = 4;       z = 480\r\n" );
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document.write( "We must always check radical equations with square\r\n" );
document.write( "or even roots for extraneous solutions:\r\n" );
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document.write( "Checking z=4\r\n" );
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document.write( "So 4 is a solution.\r\n" );
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document.write( "Checking x=480\r\n" );
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document.write( "So 480 is an extraneous answer, not a solution.\r\n" );
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document.write( "The only solution is z = 4\r\n" );
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document.write( "Edwin
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