document.write( "Question 1206802: Solve for x,
\n" ); document.write( "√x + √{x - √(1-x} = 1 \n" ); document.write( "

Algebra.Com's Answer #844446 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "Solve for $\"+x\"$ ,\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%29+%2B+sqrt%28x+-+sqrt%281-x%29%29+=+1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+sqrt%28x+-+sqrt%281-x%29%29+=+1-sqrt%28x%29+\"$ ...square both sides\r
\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%28x+-+sqrt%281-x%29%29%29%5E2+=%28+1-sqrt%28x%29%29%5E2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+-+sqrt%281-x%29+=+1-2sqrt%28x%29%2Bx\"$ ...simplify\r
\n" ); document.write( "\n" ); document.write( " $\"-+sqrt%281-x%29+=+1-2sqrt%28x%29\"$ ...square both sides\r
\n" ); document.write( "\n" ); document.write( " $\"%28-+sqrt%281-x%29%29%5E2+=+%281-2sqrt%28x%29%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1-x+=1+-+4sqrt%28x%29+%2B4x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4sqrt%28x%29=1+-+1+%2B4x%2Bx\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4sqrt%28x%29=5x\"$ ...square both sides\r
\n" ); document.write( "\n" ); document.write( " $\"16x=25x%5E2\"$ ..simplify\r
\n" ); document.write( "\n" ); document.write( " $\"16=25x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=16%2F25\"$ \r
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