document.write( "Question 617366: I'm not sure how to simplify this problem:
\n" ); document.write( "x(squared) + 3
\n" ); document.write( "over
\n" ); document.write( "x(squared) + 4\r
\n" ); document.write( "\n" ); document.write( "is equal to 2 (radical)2. I tried multiplying the faction by its reciprocal, but I can't figure out what to do with the radical on the right side.
\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #388582 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
I'm not sure how to simplify this problem:
\n" ); document.write( "x(squared) + 3
\n" ); document.write( "over
\n" ); document.write( "x(squared) + 4
\n" ); document.write( "is equal to 2 (radical)2. I tried multiplying the faction by its reciprocal, but I can't figure out what to do with the radical on the right side.
\n" ); document.write( "**
\n" ); document.write( "(x^2+3)/(x^2+4)=2√2
\n" ); document.write( "square both sides
\n" ); document.write( "(x^4+6x^2+9)/(x^4+8x^2+16)=4*2=8
\n" ); document.write( "(x^4+6x^2+9)=(8x^4+64x^2+128)
\n" ); document.write( "combine like terms, set equation to 0
\n" ); document.write( "7x^4+58x^2+119=0
\n" ); document.write( "let u=x^2
\n" ); document.write( "7u^2+58u+119
\n" ); document.write( "solve for u by quadratic equation
\n" ); document.write( "then solve for x (4 roots)
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