document.write( "Question 87138: How do I solve and check the sq rt of 4x+1_+3=0? I need help with this problem. Thank You \n" ); document.write( "

Algebra.Com's Answer #63144 by funmath(2933) $\"\"$ $\"About$

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How do I solve and check the sq rt of 4x+1_+3=0? I need help with this problem. Thank You
\n" ); document.write( " $\"sqrt%284x%2B1%29%2B3=0\"$ isolate the radical
\n" ); document.write( " $\"sqrt%284x%2B1%29%2B3-3=0-3\"$
\n" ); document.write( " $\"sqrt%284x%2B1%29=-3\"$ right now you can tell there is no solution because you don't get negative answers when you take the square root of things, but for giggles lets keep trying to solve this.
\n" ); document.write( " $\"%28sqrt%284x%2B1%29%29%5E2=%28-3%29%5E2\"$
\n" ); document.write( " $\"4x%2B1=9\"$
\n" ); document.write( " $\"4x%2B1-1=9-1\"$
\n" ); document.write( " $\"4x=8\"$
\n" ); document.write( " $\"4x%2F4=8%2F4\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "This looks like a solution, but when we check it by substitution, we find that it is extraneous.
\n" ); document.write( " $\"sqrt%284%282%29%2B1%29%2B3=0\"$
\n" ); document.write( " $\"sqrt%288%2B1%29%2B3=0\"$
\n" ); document.write( " $\"sqrt%289%29%2B3=0\"$
\n" ); document.write( " $\"3%2B3=0\"$
\n" ); document.write( " $\"6=0\"$ this isn't true, so x does not = 2
\n" ); document.write( "x=2 is an extraneous solution, there is no solution to this equation.
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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