document.write( "Question 751034: solve x - 2 sqrt(x) = 35 \n" ); document.write( "

Algebra.Com's Answer #456956 by lwsshak3(11628) $\"\"$ $\"About$

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solve x - 2 sqrt(x) = 35
\n" ); document.write( "x-2√x=35
\n" ); document.write( "let u=√x
\n" ); document.write( "u^2=x
\n" ); document.write( "u^2-2x-35=0
\n" ); document.write( "(u-7)(u+5)=0
\n" ); document.write( "u=7=√x
\n" ); document.write( "x=49
\n" ); document.write( "check:49-2√49=49-14=35
\n" ); document.write( "..
\n" ); document.write( "u=-5=√x
\n" ); document.write( "x=25
\n" ); document.write( "check:25-2√25=25-10=15 (extraneous root) \n" ); document.write( "

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