document.write( "Question 448739: Please help me solve this equation: $\"+sqrt%28x%2B3%29=-5\"$ \n" ); document.write( "

Algebra.Com's Answer #308740 by Leaf W.(135) $\"\"$ $\"About$

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$\"sqrt%28x+%2B+3%29+=+-5\"$
\n" ); document.write( "Square both sides in order to get rid of the square root: $\"%28sqrt%28x+%2B+3%29%29%5E2+=+%28-5%29%5E2\"$
\n" ); document.write( "Simplify: x + 3 = 25
\n" ); document.write( "Subtract 3 from both sides: x = 22
\n" ); document.write( "CHECK SOLUTION (VITAL for these types of problems):
\n" ); document.write( " $\"sqrt%28x+%2B+3%29+=+-5\"$
\n" ); document.write( " $\"sqrt%2822+%2B+3%29+=+-5\"$
\n" ); document.write( " $\"sqrt%2825%29+=+-5\"$
\n" ); document.write( "5 = -5
\n" ); document.write( "This is FALSE (technically, $\"sqrt%2825%29\"$ could be seen as -5, but commonly--in order to avoid confusion--this square root is used to denote the positive square root, and $\"-sqrt%2825%29\"$ would be used to denote -5).
\n" ); document.write( "Therefore, there is NO SOLUTION to this problem. \n" ); document.write( "

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