document.write( "Question 72223This question is from textbook Elementary Algebra
\n" );
document.write( ": Solve the equation
\n" );
document.write( " x/3=4/(x+1) \n" );
document.write( "
Algebra.Com's Answer #51627 by Sandacious(9)![]() ![]() ![]() You can put this solution on YOUR website! Make it a factoring question:\r \n" ); document.write( "\n" ); document.write( "X = 4 \n" ); document.write( "__ ____ \n" ); document.write( "3 X+1\r \n" ); document.write( "\n" ); document.write( "Multiply both sides by 3 You eliminate the denominator on the left \n" ); document.write( "You get\r \n" ); document.write( "\n" ); document.write( "X = 12 \n" ); document.write( " ___\r \n" ); document.write( "\n" ); document.write( " X+1\r \n" ); document.write( "\n" ); document.write( "Now multiply both sides by X+1\r \n" ); document.write( "\n" ); document.write( "You get:\r \n" ); document.write( "\n" ); document.write( "X^2 + X = 12\r \n" ); document.write( "\n" ); document.write( "Subtract 12 from both sides and you get\r \n" ); document.write( "\n" ); document.write( "X^2 + X - 12 = 0\r \n" ); document.write( "\n" ); document.write( "Now factor: Factors of -12 that when added together give you 1 (the coefficient of X in the middle (the value of X in the middle))\r \n" ); document.write( "\n" ); document.write( "You'll get:\r \n" ); document.write( "\n" ); document.write( "(X+4) (X-3)\r \n" ); document.write( "\n" ); document.write( "Therefore: When you set them equal to Zero:\r \n" ); document.write( "\n" ); document.write( "X=-4 or X = 3 \n" ); document.write( " |