document.write( "Question 758763: (sqrt(x^2-16)/sqrt(4x-14))=sqrt(2) \n" ); document.write( "

Algebra.Com's Answer #461655 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28sqrt%28x%5E2-16%29%2Fsqrt%284x-14%29%29=sqrt%282%29\"$
\n" ); document.write( "square both sides:
\n" ); document.write( " $\"%28x%5E2-16%29%2F%284x-14%29=2\"$
\n" ); document.write( "x^2-16=8x-28
\n" ); document.write( "x^2-8x+12=0
\n" ); document.write( "(x-6)(x-2)=0
\n" ); document.write( "x=6
\n" ); document.write( "or
\n" ); document.write( "x=4
\n" ); document.write( " \n" ); document.write( "

\n" );