document.write( "Question 1126298: Absolute value equation that has the solutions x= -10 and x= -5 \n" ); document.write( "
Algebra.Com's Answer #742620 by ikleyn(52946) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The simplest such an absolute value equation is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " |x - (-7.5)| = 2.5, (1) or equivalently\r\n" ); document.write( "\r\n" ); document.write( " |X + 7.5| = 2.5. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Equation (1) says that the values x= -10 and x= -5 are equally remoted from the point x= -7.5 on the number line.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Notice that the distance from the value of -7.5 to -10 and -5 is 2.5,\r\n" ); document.write( "\r\n" ); document.write( "which is exactly half of the distance between the point -10 and -5.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I am 129% sure that this form equation is exactly what the assignment and the teacher is expected to get from you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When you will get similar problem next time, solve it exactly in this way.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |