document.write( "Question 63984: For the equation x-(sqrt)x=0, solve for all values of x that satisfies the equation and show the work. \n" ); document.write( "
Algebra.Com's Answer #44638 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
To solve:
\n" ); document.write( "(1) x-sqrt(x)=0
\n" ); document.write( "We want to get rid of the radical. We'll do this by, first, isolating it on the left side of the equation and then we'll square both sides.\r
\n" ); document.write( "\n" ); document.write( "subtracting x from both side of the equation, we get:
\n" ); document.write( "x-x-sqrt(x)=-x simplifying we have:
\n" ); document.write( "-sqrt(x)=-x now we'll square both sides:
\n" ); document.write( "(-sqrt(x))^2=(-x)^2 and we get:
\n" ); document.write( "x=x2 subtract x from both sides:
\n" ); document.write( "x2-x=0 or
\n" ); document.write( "x(x-1)=0 and
\n" ); document.write( "x=0
\n" ); document.write( "x=1
\n" ); document.write( "ck by substituting into (1)
\n" ); document.write( "0-0=0
\n" ); document.write( "1-1=0\r
\n" ); document.write( "\n" ); document.write( "Hope this helps.---Happy holidays.-----ptaylor\r
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