document.write( "Question 61139: solve for x: radical sign x-4= x-10 (the sign is over x-4 only)I got x=13 x=-8, but the -8 was extraneous....am i correct??? \n" ); document.write( "
Algebra.Com's Answer #42086 by asha(30)![]() ![]() ![]() You can put this solution on YOUR website! radical sign x-4 =x-10 \n" ); document.write( "squaring both the sides we get \n" ); document.write( "x-4 = (x-10)^2 \n" ); document.write( "x-4 = x^2-20x+100 \n" ); document.write( "taking all the terms to one side,we get \n" ); document.write( "x^2-20x-x+100+4 \n" ); document.write( "x^2-21x+104 \n" ); document.write( "splitting the middle term so that sum is -21 and product is 104 \n" ); document.write( "we get the factors -8 and -13 \n" ); document.write( "x^2-8x-13x+104=0 \n" ); document.write( "x(x-8)-13(x-8)=0 \n" ); document.write( "(X-8)(x-13)=0 \n" ); document.write( "x=8 and x=13 are the solutions \n" ); document.write( "good luck!!! \n" ); document.write( " |