document.write( "Question 1207832: Explain why there are no real numbers that satisfy the equation |x^2 + 4x| = - 12. \n" ); document.write( "
Algebra.Com's Answer #845959 by ikleyn(52834)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By the definition, absolute value of a number or of an expression is always positive real number or zero.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, left side of this equality can not be equal to negative number in right side.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "////////////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Comment from student: You are saying this: |blah| must = positive number\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My response: Not exactly. I said something different. I said \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \"absolute value of a number or of an expression is always positive real number or zero\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Please do not distort my words.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I just got several comments from you in response to my solutions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These comments had something in common: every time you try to distort my words.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distorting my words, you distort their meaning.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I am VERY DISAPPOINTED to see it again and again. Please do not make it in the future.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Don't make me justify myself by twisting my words.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |