document.write( "Question 1107165: find the two possible values of p if p-3,3p+5 and 18p-5 are 3 consecutive terms of a GP \n" ); document.write( "
Algebra.Com's Answer #722148 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Then the ratio of the third term to the second term is equal to the ratio of the second term to the first term,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since both ratios are equal to the common ratio, by the definition of the geometric progression:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cross-multiply to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the quadratic equation. Simplify it and reduce to the standard form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then find two roots of p using the quadratic formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After finding these values, restore the terms. \n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |