document.write( "Question 157304This question is from textbook elementary and intermediate algebra
\n" ); document.write( ": Can someone help me? #31. Solve each equation and check for extraneous solutions. 2√w+4=5
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Algebra.Com's Answer #115934 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"2%2Asqrt%28w%2B4%29=5\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"4%28w%2B4%29=25\" Square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"4w%2B16=25\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"4w=25-16\" Subtract \"16\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"4w=9\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"w=%289%29%2F%284%29\" Divide both sides by \"4\" to isolate \"w\".\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"w=9%2F4\" which in decimal form is \"w=2.25\". \r
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\n" ); document.write( "\n" ); document.write( "Check:\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%28w%2B4%29=5\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%289%2F4%2B4%29=5\" Plug in \"w=9%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%2825%2F4%29=5\" Add\r
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\n" ); document.write( "\n" ); document.write( "\"2%2A%285%2F2%29=5\" Take the square root\r
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\n" ); document.write( "\n" ); document.write( "\"10%2F2=5\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"5=5\" Reduce. Since the equation is true, this verifies our answer.
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