document.write( "Question 138581: Solve: (x/x+2)- (4/x-4)=(1/2) \n" ); document.write( "
Algebra.Com's Answer #101159 by edjones(8007)![]() ![]() You can put this solution on YOUR website! (x/x+2)-(4/x-4)=(1/2) \n" ); document.write( "2x(x-4)-8(x+2)=(x+2)(x-4) Multiply each side by 2(x-4)(x+2) to eliminate fractions. \n" ); document.write( "2x^2-8x-8x-16=x^2-2x-8 \n" ); document.write( "x^2-14x-8=0 Subtract the left side from the right. \n" ); document.write( "x^2-14x =8 \n" ); document.write( "x^2-14x+49=8+49 complete the square. \n" ); document.write( "(x-7)^2=57 \n" ); document.write( "x-7=+-sqrt(57) sqrt of each side. \n" ); document.write( "x=7+sqrt(57), x=7-sqrt(57) \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |