document.write( "Question 194573: √x+35 + 7 = x \n" ); document.write( "
Algebra.Com's Answer #145995 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
√x+35 + 7 = x
\n" ); document.write( "Rearrange:
\n" ); document.write( "x - sqrt(x) -42 = 0
\n" ); document.write( "This is a quadratic in sqrt(x)
\n" ); document.write( "---------------------------------
\n" ); document.write( "Rewrite to see that:
\n" ); document.write( "(sqrt(x))^2 - sqrt(x) - 42 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(sqrt(x)-7)(sqrt(x)+6) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "sqrt(x) = 7
\n" ); document.write( "x = 49
\n" ); document.write( "---
\n" ); document.write( "Checking:
\n" ); document.write( "sqrt(49)+ 35 + 7 = 49
\n" ); document.write( "7 + 35 + 7 = 49
\n" ); document.write( "49 = 49
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );