document.write( "Question 85864: Help! I am stuck on solving a radical equation.
\n" ); document.write( "The original problem is this: sq.rt.2y+7 plus 4 = y.
\n" ); document.write( "I know I have to isolate the radical to one side, then square both sides of the equation. Getting that far, I have: (sq.rt.2y+7)= (y-4).
\n" ); document.write( "After that I am completely stuck! Please help! \r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #62054 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
\"%28sqrt%282y%2B7%29+%2B+4%29\" = y
\n" ); document.write( "\"%28sqrt%282y%2B7%29+%2B+4-4%29\" = -4 + y
\n" ); document.write( "\"%28sqrt%282y%2B7%29+%29\" = -4 + y
\n" ); document.write( "\"%28%28sqrt%282y%2B7%29%29%5E2+%29\" = \"%28%28-4+%2B+y%29%5E2%29\" [square both sides]
\n" ); document.write( "2y+7= = (-4 + y ) (-4 + y)[use the FOIL method to multiply]
\n" ); document.write( "2y+7=\"%2816-8y%2By%5E2%29%29\" [set the equation equal to zero]
\n" ); document.write( "2y-2y+7-7=\"%2816-7-8y-2y%2By%5E2%29%29\"
\n" ); document.write( "0=\"%289-10y%2By%5E2%29%29\" [re-arrange the terms]
\n" ); document.write( "0=\"%28y%5E2-10y%2B9%29%29\" [factor}
\n" ); document.write( "0=(y-9)(y-1) [set each factor equal to zero and solve for the x-term]
\n" ); document.write( ".
\n" ); document.write( "y-9=0
\n" ); document.write( "y=9
\n" ); document.write( "and
\n" ); document.write( "y-1=0
\n" ); document.write( "y=1\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "check by plugging either value of x back into the original equation and solve.\r
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