document.write( "Question 1097458: State all the values of x that satisfy the following equation: $\"+%287-2%2Fx%29=sqrt%287%2Fx%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #711873 by Boreal(15235) $\"\"$ $\"About$

You can put this solution on YOUR website!
square both sides
\n" ); document.write( "49-28/x+ (4/x^2)=7/x
\n" ); document.write( "49+(4/x^2)=(35/x)
\n" ); document.write( "multiply everything by x^2
\n" ); document.write( "49x^2+4=35x
\n" ); document.write( "49x^2-35x+4=0
\n" ); document.write( "(7x-4)(7x-1)=0
\n" ); document.write( "x=(4/7), (1/7)
\n" ); document.write( "check
\n" ); document.write( "7-(14/4)=sqrt(49/4)
\n" ); document.write( "3.5=7/2=3.5
\n" ); document.write( "check
\n" ); document.write( "7-14=sqrt(49)
\n" ); document.write( "sqrt(49)=7 by convention, the principal square root.
\n" ); document.write( "Therefore, x=(4/7) is the value.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );