document.write( "Question 76673This question is from textbook College Algebra
\n" ); document.write( ": Square root of 2t minus t + 4 = 0 \n" ); document.write( "

Algebra.Com's Answer #54988 by funmath(2933) $\"\"$ $\"About$

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Square root of 2t minus t + 4 = 0
\n" ); document.write( "Is this what you meant?
\n" ); document.write( " $\"sqrt%282t%29-t%2B4=0\"$
\n" ); document.write( "First isolate the radical
\n" ); document.write( " $\"sqrt%282t%29-t%2Bt%2B4-4=0%2Bt-4\"$
\n" ); document.write( " $\"sqrt%282t%29=t-4\"$
\n" ); document.write( "Now square both sides
\n" ); document.write( " $\"%28sqrt%282t%29%29%5E2=%28t-4%29%5E2\"$
\n" ); document.write( " $\"2t=%28t-4%29%28t-4%29\"$
\n" ); document.write( " $\"2t=t%5E2-4t-4t%2B16\"$
\n" ); document.write( " $\"2t=t%5E2-8t%2B16\"$
\n" ); document.write( "Set the problem = to 0
\n" ); document.write( " $\"2t-2t=t%5E2-8t-2t%2B16\"$
\n" ); document.write( "Factor
\n" ); document.write( " $\"0=t%5E2-10t%2B16\"$
\n" ); document.write( " $\"0=%28t-8%29%28t-2%29\"$
\n" ); document.write( "Set each factor = to 0 and solve for x
\n" ); document.write( " $\"t-8=0\"$ or $\"t-2=0\"$
\n" ); document.write( " $\"t-8%2B8=0%2B8\"$ or $\"t-2%2B2=0%2B2\"$
\n" ); document.write( " $\"t=8\"$ or $\"t=2\"$
\n" ); document.write( "Check for extraneous solutions:
\n" ); document.write( " $\"sqrt%282%288%29%29-%288%29%2B4=0\"$ or $\"sqrt%282%282%29%29-%282%29%2B4=0\"$
\n" ); document.write( " $\"sqrt%2816%29-8%2B4=0\"$ or $\"sqrt%284%29-2%2B4=0\"$
\n" ); document.write( " $\"4-8%2B4=0\"$ or $\"2-2%2B4=0\"$
\n" ); document.write( " $\"0=0\"$ or $\"0=0\"$
\n" ); document.write( "Both solutions work!
\n" ); document.write( " $\"highlight%28t=8%29\"$ or $\"highlight%28t=2%29\"$
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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