document.write( "Question 261336: x = 3/x + 1/2 \n" ); document.write( "
Algebra.Com's Answer #192526 by kidscomefirst(1)![]() ![]() ![]() You can put this solution on YOUR website! Original problem: x = 3/x + 1/2\r \n" ); document.write( "\n" ); document.write( "1. Start my multiplying both sides by x to get this equation in the form of a quadratic.\r \n" ); document.write( "\n" ); document.write( "x^2 = 3 + 1/2*x\r \n" ); document.write( "\n" ); document.write( "2. Then multiply both sides by 2 to eliminate the fraction. Will make factoring the quadratic easier in the end.\r \n" ); document.write( "\n" ); document.write( "2x^2 = 6 + x\r \n" ); document.write( "\n" ); document.write( "3. Move all of the terms on one side of the equation so that the quadractic equation is set to zero.\r \n" ); document.write( "\n" ); document.write( "2x^2 - x - 6 = 0\r \n" ); document.write( "\n" ); document.write( "4. Use the FOIL method to factor this quadratic equation.\r \n" ); document.write( "\n" ); document.write( "(2x + 3)(x - 2) = 0\r \n" ); document.write( "\n" ); document.write( "5. To find your possible solutions (there are two since this is a quadratic equation), set each factor equal to zero and solve for x.\r \n" ); document.write( "\n" ); document.write( "2x + 3 = 0 ===> x = -3/2 \n" ); document.write( "x - 2 = 0 ===> x = 2 \n" ); document.write( " |