document.write( "Question 582720: How do you solve ,the square root of 10 subtracted from (x) is equal to one minus the square root of x. \n" ); document.write( "

Algebra.Com's Answer #372213 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x+-+sqrt%2810%29+=+1+-+sqrt%28x%29+\"$
\n" ); document.write( "Add $\"+sqrt%28x%29+\"$ to both sides
\n" ); document.write( "Add $\"+sqrt%2810%29+\"$ to both sides
\n" ); document.write( " $\"+x+%2B+sqrt%28x%29+=+sqrt%2810%29+%2B+1+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Let $\"+x+=+z%5E2+\"$
\n" ); document.write( " $\"+z%5E2+%2B+z+=+sqrt%2810%29+%2B+1+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+z%5E2+%2B+z+%2B+%281%2F2%29%5E2+=+sqrt%2810%29+%2B+1+%2B+%281%2F2%29%5E2+\"$
\n" ); document.write( " $\"+z%5E2+%2B+z+%2B+1%2F4+=+sqrt%2810%29+%2B+1+%2B+1%2F4+\"$
\n" ); document.write( " $\"+%28+z+%2B+1%2F2%29%5E2+=+sqrt%2810%29+%2B+5%2F4+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+z+%2B+1%2F2+=+sqrt%28+sqrt%2810%29+%2B+5%2F4+%29+\"$
\n" ); document.write( " $\"+sqrt%28x%29+%2B+1%2F2+=+sqrt%28+sqrt%2810%29+%2B+5%2F4+%29+\"$
\n" ); document.write( " $\"+sqrt%28x%29++=+sqrt%28+sqrt%2810%29+%2B+5%2F4++%29+-+1%2F2+\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"+x+=+sqrt%2810%29+%2B+5%2F4+-+sqrt%28+sqrt%2810%29+%2B+5%2F4%29+%2B+1%2F4+\"$
\n" ); document.write( " $\"+x+=+sqrt%2810%29++-++sqrt%28+sqrt%2810%29+%2B+5%2F4%29+%2B+3%2F2+\"$
\n" ); document.write( "This looks pretty strange. You might want
\n" ); document.write( "a 2nd opinion \n" ); document.write( "

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