document.write( "Question 286513: Is the equation √[ (3x +7)2] = 3x + 7 sometimes true, always true, or never true?\r
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\n" ); document.write( "Thank you.
\n" ); document.write( "Cynthia
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Algebra.Com's Answer #207806 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%28%283x%2B7%29%5E2%29=3x%2B7\" is only true if \"%283x%2B7%29%3E=0\" since \"sqrt%28%283x%2B7%29%5E2%29=abs%283x%2B7%29\" for all values of 'x'. So the answer is 'sometimes true'.\r
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\n" ); document.write( "\n" ); document.write( "Here are some examples: If x=0, then \"sqrt%28%283%280%29%2B7%29%5E2%29=3%280%29%2B7\" ---> \"sqrt%287%5E2%29=7\" ----> \"7=7\" which is true.\r
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\n" ); document.write( "\n" ); document.write( "However, If x=-10, then \"sqrt%28%283%28-10%29%2B7%29%5E2%29=3%28-10%29%2B7\" ---> \"sqrt%28%28-28%29%5E2%29=-28\" ----> \"28=-28\" which is false.
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