document.write( "Question 476227: sgrt(x+5)+sqrt(x-3)=4
\n" ); document.write( "I've tried and tried this, and just don't know how to get x. The answer is 4, but I don't know how to get there \n" ); document.write( "

Algebra.Com's Answer #326550 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
sgrt(x+5)+sqrt(x-3)=4
\n" ); document.write( "√(x+5)+√(x-3)=4
\n" ); document.write( "isolate one of the radicals
\n" ); document.write( "√(x+5)=4-√(x-3
\n" ); document.write( "square both sides
\n" ); document.write( "x+5=16-8√(x-3)+x-3
\n" ); document.write( "isolate remaining radical
\n" ); document.write( "8√(x-3)=8
\n" ); document.write( "square both sides again
\n" ); document.write( "64(x-3)=64
\n" ); document.write( "64x-192=64
\n" ); document.write( "64x=256
\n" ); document.write( "x=256/64=4 \n" ); document.write( "

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