document.write( "Question 118072: Solve each of the equations.\r
\n" ); document.write( "\n" ); document.write( "square root of x+4 = 3\r
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\n" ); document.write( "\n" ); document.write( "square root of 4x+1 +3=0\r
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Algebra.Com's Answer #86148 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28x%2B4%29=3\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"x%2B4=9\"$ Square both sides\r
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\n" ); document.write( "\n" ); document.write( " $\"x=9-4\"$ Subtract 4 from both sides\r
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\n" ); document.write( "\n" ); document.write( " $\"x=5\"$ Combine like terms on the right side\r
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\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is $\"x=5\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%284x%2B1%29%2B3=0\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%284x%2B1%29=-3\"$ Subtract 3 from both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"4x%2B1=9\"$ Square both sides\r
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\n" ); document.write( "\n" ); document.write( " $\"4x=9-1\"$ Subtract 1 from both sides\r
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\n" ); document.write( "\n" ); document.write( " $\"4x=8\"$ Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( " $\"x=%288%29%2F%284%29\"$ Divide both sides by 4 to isolate x\r
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\n" ); document.write( "\n" ); document.write( " $\"x=2\"$ Divide\r
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\n" ); document.write( "\n" ); document.write( "So a possible answer is $\"x=2\"$ , but we must check our answer.\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%284x%2B1%29%2B3=0\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%284%282%29%2B1%29%2B3=0\"$ Plug in x=2\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%288%2B1%29%2B3=0\"$ Multiply\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%289%29%2B3=0\"$ Add\r
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\n" ); document.write( "\n" ); document.write( " $\"3%2B3=0\"$ Take the square root of 9 to get 3\r
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\n" ); document.write( "\n" ); document.write( " $\"6%3C%3E0\"$ Add. Since both sides of the equation are not equal, the possible solution x=2 is not valid\r
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\n" ); document.write( "\n" ); document.write( "So the equation has no solutions \n" ); document.write( "

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