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)\"\" \"About 
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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!!!
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